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Finding the Fourth Proportional to 82,451.52, 123,657.84 and 29,872.80

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Solution

The fourth proportional to 82,451.52, 123,657.84 and 29,872.80 is: 44,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451.52 : 123,657.84 = 29,872.80 : x
  2. Step 2: Convert to fraction form
    82,451.52/123,657.84 = 29,872.80/x
  3. Step 3: Cross multiply
    82,451.52x = 123,657.84 × 29,872.80
  4. Step 4: Simplify right side
    82,451.52x = 3,694,005,922.75
  5. Step 5: Solve for x
    x = 3,694,005,922.75/82,451.52
  6. Step 6: Final answer
    x = 44,802.16

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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.