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Finding the Fourth Proportional to 87,783.90, 121,140.91 and 47,496.77

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Solution

The fourth proportional to 87,783.90, 121,140.91 and 47,496.77 is: 65,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783.90 : 121,140.91 = 47,496.77 : x
  2. Step 2: Convert to fraction form
    87,783.90/121,140.91 = 47,496.77/x
  3. Step 3: Cross multiply
    87,783.90x = 121,140.91 × 47,496.77
  4. Step 4: Simplify right side
    87,783.90x = 5,753,801,702.38
  5. Step 5: Solve for x
    x = 5,753,801,702.38/87,783.90
  6. Step 6: Final answer
    x = 65,545.07

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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.