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Finding the Fourth Proportional to 37,532.50, 51,795.51 and 20,538.23

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Solution

The fourth proportional to 37,532.50, 51,795.51 and 20,538.23 is: 28,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,532.50 : 51,795.51 = 20,538.23 : x
  2. Step 2: Convert to fraction form
    37,532.50/51,795.51 = 20,538.23/x
  3. Step 3: Cross multiply
    37,532.50x = 51,795.51 × 20,538.23
  4. Step 4: Simplify right side
    37,532.50x = 1,063,788,097.35
  5. Step 5: Solve for x
    x = 1,063,788,097.35/37,532.50
  6. Step 6: Final answer
    x = 28,343.12

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Double scale
Find fourth proportional to 37,533.50, 51,796.89 and 20,539.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.