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Finding the Fourth Proportional to 37,097, 51,193.86 and 20,329.64

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Solution

The fourth proportional to 37,097, 51,193.86 and 20,329.64 is: 28,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097 : 51,193.86 = 20,329.64 : x
  2. Step 2: Convert to fraction form
    37,097/51,193.86 = 20,329.64/x
  3. Step 3: Cross multiply
    37,097x = 51,193.86 × 20,329.64
  4. Step 4: Simplify right side
    37,097x = 1,040,752,744.01
  5. Step 5: Solve for x
    x = 1,040,752,744.01/37,097
  6. Step 6: Final answer
    x = 28,054.90

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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.