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Finding the Fourth Proportional to 71,598.38, 98,805.77 and 39,770.24

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Solution

The fourth proportional to 71,598.38, 98,805.77 and 39,770.24 is: 54,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,598.38 : 98,805.77 = 39,770.24 : x
  2. Step 2: Convert to fraction form
    71,598.38/98,805.77 = 39,770.24/x
  3. Step 3: Cross multiply
    71,598.38x = 98,805.77 × 39,770.24
  4. Step 4: Simplify right side
    71,598.38x = 3,929,528,493.40
  5. Step 5: Solve for x
    x = 3,929,528,493.40/71,598.38
  6. Step 6: Final answer
    x = 54,882.93

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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.