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Finding the Fourth Proportional to 87,863.38, 121,252.47 and 47,578.06

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Solution

The fourth proportional to 87,863.38, 121,252.47 and 47,578.06 is: 65,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,863.38 : 121,252.47 = 47,578.06 : x
  2. Step 2: Convert to fraction form
    87,863.38/121,252.47 = 47,578.06/x
  3. Step 3: Cross multiply
    87,863.38x = 121,252.47 × 47,578.06
  4. Step 4: Simplify right side
    87,863.38x = 5,768,957,292.81
  5. Step 5: Solve for x
    x = 5,768,957,292.81/87,863.38
  6. Step 6: Final answer
    x = 65,658.27

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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.