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Finding the Fourth Proportional to 54,505.68, 81,687.77 and 24,497.74

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Solution

The fourth proportional to 54,505.68, 81,687.77 and 24,497.74 is: 36,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,505.68 : 81,687.77 = 24,497.74 : x
  2. Step 2: Convert to fraction form
    54,505.68/81,687.77 = 24,497.74/x
  3. Step 3: Cross multiply
    54,505.68x = 81,687.77 × 24,497.74
  4. Step 4: Simplify right side
    54,505.68x = 2,001,165,822.13
  5. Step 5: Solve for x
    x = 2,001,165,822.13/54,505.68
  6. Step 6: Final answer
    x = 36,714.82

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Why These Related Problems?

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