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Finding the Fourth Proportional to 87,874.74, 121,264.38 and 49,635.72

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Solution

The fourth proportional to 87,874.74, 121,264.38 and 49,635.72 is: 68,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874.74 : 121,264.38 = 49,635.72 : x
  2. Step 2: Convert to fraction form
    87,874.74/121,264.38 = 49,635.72/x
  3. Step 3: Cross multiply
    87,874.74x = 121,264.38 × 49,635.72
  4. Step 4: Simplify right side
    87,874.74x = 6,019,044,811.65
  5. Step 5: Solve for x
    x = 6,019,044,811.65/87,874.74
  6. Step 6: Final answer
    x = 68,495.73

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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.