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Finding the Fourth Proportional to 78,467.97, 108,286.89 and 42,658.02

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Solution

The fourth proportional to 78,467.97, 108,286.89 and 42,658.02 is: 58,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.97 : 108,286.89 = 42,658.02 : x
  2. Step 2: Convert to fraction form
    78,467.97/108,286.89 = 42,658.02/x
  3. Step 3: Cross multiply
    78,467.97x = 108,286.89 × 42,658.02
  4. Step 4: Simplify right side
    78,467.97x = 4,619,304,319.36
  5. Step 5: Solve for x
    x = 4,619,304,319.36/78,467.97
  6. Step 6: Final answer
    x = 58,868.66

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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.