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Finding the Fourth Proportional to 87,572.76, 120,850.54 and 49,847

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Solution

The fourth proportional to 87,572.76, 120,850.54 and 49,847 is: 68,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,572.76 : 120,850.54 = 49,847 : x
  2. Step 2: Convert to fraction form
    87,572.76/120,850.54 = 49,847/x
  3. Step 3: Cross multiply
    87,572.76x = 120,850.54 × 49,847
  4. Step 4: Simplify right side
    87,572.76x = 6,024,036,867.38
  5. Step 5: Solve for x
    x = 6,024,036,867.38/87,572.76
  6. Step 6: Final answer
    x = 68,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.