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Finding the Fourth Proportional to 87,367.41, 120,566.34 and 49,641.66

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Solution

The fourth proportional to 87,367.41, 120,566.34 and 49,641.66 is: 68,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,367.41 : 120,566.34 = 49,641.66 : x
  2. Step 2: Convert to fraction form
    87,367.41/120,566.34 = 49,641.66/x
  3. Step 3: Cross multiply
    87,367.41x = 120,566.34 × 49,641.66
  4. Step 4: Simplify right side
    87,367.41x = 5,985,113,257.72
  5. Step 5: Solve for x
    x = 5,985,113,257.72/87,367.41
  6. Step 6: Final answer
    x = 68,505.10

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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.