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Finding the Fourth Proportional to 84,713.73, 116,871.71 and 59,213.31

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Solution

The fourth proportional to 84,713.73, 116,871.71 and 59,213.31 is: 81,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,713.73 : 116,871.71 = 59,213.31 : x
  2. Step 2: Convert to fraction form
    84,713.73/116,871.71 = 59,213.31/x
  3. Step 3: Cross multiply
    84,713.73x = 116,871.71 × 59,213.31
  4. Step 4: Simplify right side
    84,713.73x = 6,920,360,498.39
  5. Step 5: Solve for x
    x = 6,920,360,498.39/84,713.73
  6. Step 6: Final answer
    x = 81,691.13

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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.