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Finding the Fourth Proportional to 75,863.58, 104,691.67 and 42,329.58

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Solution

The fourth proportional to 75,863.58, 104,691.67 and 42,329.58 is: 58,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,863.58 : 104,691.67 = 42,329.58 : x
  2. Step 2: Convert to fraction form
    75,863.58/104,691.67 = 42,329.58/x
  3. Step 3: Cross multiply
    75,863.58x = 104,691.67 × 42,329.58
  4. Step 4: Simplify right side
    75,863.58x = 4,431,554,420.60
  5. Step 5: Solve for x
    x = 4,431,554,420.60/75,863.58
  6. Step 6: Final answer
    x = 58,414.78

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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.