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Finding the Fourth Proportional to 82,432.74, 123,648.74 and 29,829.90

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Solution

The fourth proportional to 82,432.74, 123,648.74 and 29,829.90 is: 44,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,432.74 : 123,648.74 = 29,829.90 : x
  2. Step 2: Convert to fraction form
    82,432.74/123,648.74 = 29,829.90/x
  3. Step 3: Cross multiply
    82,432.74x = 123,648.74 × 29,829.90
  4. Step 4: Simplify right side
    82,432.74x = 3,688,429,549.33
  5. Step 5: Solve for x
    x = 3,688,429,549.33/82,432.74
  6. Step 6: Final answer
    x = 44,744.72

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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.