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Finding the Fourth Proportional to 78,642.92, 117,963.66 and 31,884.68

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Solution

The fourth proportional to 78,642.92, 117,963.66 and 31,884.68 is: 47,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642.92 : 117,963.66 = 31,884.68 : x
  2. Step 2: Convert to fraction form
    78,642.92/117,963.66 = 31,884.68/x
  3. Step 3: Cross multiply
    78,642.92x = 117,963.66 × 31,884.68
  4. Step 4: Simplify right side
    78,642.92x = 3,761,233,550.73
  5. Step 5: Solve for x
    x = 3,761,233,550.73/78,642.92
  6. Step 6: Final answer
    x = 47,826.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.