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Finding the Fourth Proportional to 71,549.43, 98,733.26 and 39,715.82

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Solution

The fourth proportional to 71,549.43, 98,733.26 and 39,715.82 is: 54,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,549.43 : 98,733.26 = 39,715.82 : x
  2. Step 2: Convert to fraction form
    71,549.43/98,733.26 = 39,715.82/x
  3. Step 3: Cross multiply
    71,549.43x = 98,733.26 × 39,715.82
  4. Step 4: Simplify right side
    71,549.43x = 3,921,272,382.17
  5. Step 5: Solve for x
    x = 3,921,272,382.17/71,549.43
  6. Step 6: Final answer
    x = 54,805.08

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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.