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Finding the Fourth Proportional to 83,587.10, 115,352.60 and 47,781.86

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Solution

The fourth proportional to 83,587.10, 115,352.60 and 47,781.86 is: 65,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,587.10 : 115,352.60 = 47,781.86 : x
  2. Step 2: Convert to fraction form
    83,587.10/115,352.60 = 47,781.86/x
  3. Step 3: Cross multiply
    83,587.10x = 115,352.60 × 47,781.86
  4. Step 4: Simplify right side
    83,587.10x = 5,511,761,833.31
  5. Step 5: Solve for x
    x = 5,511,761,833.31/83,587.10
  6. Step 6: Final answer
    x = 65,940.34

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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.