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Finding the Fourth Proportional to 82,474.92, 123,777.98 and 29,899.40

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Solution

The fourth proportional to 82,474.92, 123,777.98 and 29,899.40 is: 44,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.92 : 123,777.98 = 29,899.40 : x
  2. Step 2: Convert to fraction form
    82,474.92/123,777.98 = 29,899.40/x
  3. Step 3: Cross multiply
    82,474.92x = 123,777.98 × 29,899.40
  4. Step 4: Simplify right side
    82,474.92x = 3,700,887,335.21
  5. Step 5: Solve for x
    x = 3,700,887,335.21/82,474.92
  6. Step 6: Final answer
    x = 44,872.88

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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.