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Finding the Fourth Proportional to 87,853.82, 121,237.14 and 47,566.66

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Solution

The fourth proportional to 87,853.82, 121,237.14 and 47,566.66 is: 65,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,853.82 : 121,237.14 = 47,566.66 : x
  2. Step 2: Convert to fraction form
    87,853.82/121,237.14 = 47,566.66/x
  3. Step 3: Cross multiply
    87,853.82x = 121,237.14 × 47,566.66
  4. Step 4: Simplify right side
    87,853.82x = 5,766,845,817.75
  5. Step 5: Solve for x
    x = 5,766,845,817.75/87,853.82
  6. Step 6: Final answer
    x = 65,641.38

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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.