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Finding the Fourth Proportional to 81,714.32, 112,761.96 and 45,414.08

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Solution

The fourth proportional to 81,714.32, 112,761.96 and 45,414.08 is: 62,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.32 : 112,761.96 = 45,414.08 : x
  2. Step 2: Convert to fraction form
    81,714.32/112,761.96 = 45,414.08/x
  3. Step 3: Cross multiply
    81,714.32x = 112,761.96 × 45,414.08
  4. Step 4: Simplify right side
    81,714.32x = 5,120,980,672.40
  5. Step 5: Solve for x
    x = 5,120,980,672.40/81,714.32
  6. Step 6: Final answer
    x = 62,669.32

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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.