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Finding the Fourth Proportional to 81,680.16, 122,539.68 and 31,761.48

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Solution

The fourth proportional to 81,680.16, 122,539.68 and 31,761.48 is: 47,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,680.16 : 122,539.68 = 31,761.48 : x
  2. Step 2: Convert to fraction form
    81,680.16/122,539.68 = 31,761.48/x
  3. Step 3: Cross multiply
    81,680.16x = 122,539.68 × 31,761.48
  4. Step 4: Simplify right side
    81,680.16x = 3,892,041,595.53
  5. Step 5: Solve for x
    x = 3,892,041,595.53/81,680.16
  6. Step 6: Final answer
    x = 47,649.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.