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Finding the Fourth Proportional to 87,851.82, 121,234.38 and 47,564.66

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Solution

The fourth proportional to 87,851.82, 121,234.38 and 47,564.66 is: 65,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,851.82 : 121,234.38 = 47,564.66 : x
  2. Step 2: Convert to fraction form
    87,851.82/121,234.38 = 47,564.66/x
  3. Step 3: Cross multiply
    87,851.82x = 121,234.38 × 47,564.66
  4. Step 4: Simplify right side
    87,851.82x = 5,766,472,065.01
  5. Step 5: Solve for x
    x = 5,766,472,065.01/87,851.82
  6. Step 6: Final answer
    x = 65,638.62

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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.