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Finding the Fourth Proportional to 82,469.92, 123,770.48 and 29,894.40

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Solution

The fourth proportional to 82,469.92, 123,770.48 and 29,894.40 is: 44,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.92 : 123,770.48 = 29,894.40 : x
  2. Step 2: Convert to fraction form
    82,469.92/123,770.48 = 29,894.40/x
  3. Step 3: Cross multiply
    82,469.92x = 123,770.48 × 29,894.40
  4. Step 4: Simplify right side
    82,469.92x = 3,700,044,237.31
  5. Step 5: Solve for x
    x = 3,700,044,237.31/82,469.92
  6. Step 6: Final answer
    x = 44,865.38

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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.