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Finding the Fourth Proportional to 71,564.22, 98,761.71 and 39,733.13

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Solution

The fourth proportional to 71,564.22, 98,761.71 and 39,733.13 is: 54,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.22 : 98,761.71 = 39,733.13 : x
  2. Step 2: Convert to fraction form
    71,564.22/98,761.71 = 39,733.13/x
  3. Step 3: Cross multiply
    71,564.22x = 98,761.71 × 39,733.13
  4. Step 4: Simplify right side
    71,564.22x = 3,924,111,368.64
  5. Step 5: Solve for x
    x = 3,924,111,368.64/71,564.22
  6. Step 6: Final answer
    x = 54,833.43

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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.