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Finding the Fourth Proportional to 82,475.92, 123,779.48 and 29,900.40

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Solution

The fourth proportional to 82,475.92, 123,779.48 and 29,900.40 is: 44,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,475.92 : 123,779.48 = 29,900.40 : x
  2. Step 2: Convert to fraction form
    82,475.92/123,779.48 = 29,900.40/x
  3. Step 3: Cross multiply
    82,475.92x = 123,779.48 × 29,900.40
  4. Step 4: Simplify right side
    82,475.92x = 3,701,055,963.79
  5. Step 5: Solve for x
    x = 3,701,055,963.79/82,475.92
  6. Step 6: Final answer
    x = 44,874.38

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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.