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Finding the Fourth Proportional to 37,338, 51,526.60 and 22,231.24

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Solution

The fourth proportional to 37,338, 51,526.60 and 22,231.24 is: 30,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338 : 51,526.60 = 22,231.24 : x
  2. Step 2: Convert to fraction form
    37,338/51,526.60 = 22,231.24/x
  3. Step 3: Cross multiply
    37,338x = 51,526.60 × 22,231.24
  4. Step 4: Simplify right side
    37,338x = 1,145,500,210.98
  5. Step 5: Solve for x
    x = 1,145,500,210.98/37,338
  6. Step 6: Final answer
    x = 30,679.21

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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.