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Finding the Fourth Proportional to 84,615.24, 116,503.17 and 71,843.16

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Solution

The fourth proportional to 84,615.24, 116,503.17 and 71,843.16 is: 98,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615.24 : 116,503.17 = 71,843.16 : x
  2. Step 2: Convert to fraction form
    84,615.24/116,503.17 = 71,843.16/x
  3. Step 3: Cross multiply
    84,615.24x = 116,503.17 × 71,843.16
  4. Step 4: Simplify right side
    84,615.24x = 8,369,955,882.82
  5. Step 5: Solve for x
    x = 8,369,955,882.82/84,615.24
  6. Step 6: Final answer
    x = 98,917.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.