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Finding the Fourth Proportional to 42,684.69, 58,934.03 and 27,613.83

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Solution

The fourth proportional to 42,684.69, 58,934.03 and 27,613.83 is: 38,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684.69 : 58,934.03 = 27,613.83 : x
  2. Step 2: Convert to fraction form
    42,684.69/58,934.03 = 27,613.83/x
  3. Step 3: Cross multiply
    42,684.69x = 58,934.03 × 27,613.83
  4. Step 4: Simplify right side
    42,684.69x = 1,627,394,147.57
  5. Step 5: Solve for x
    x = 1,627,394,147.57/42,684.69
  6. Step 6: Final answer
    x = 38,125.95

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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.