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Finding the Fourth Proportional to 49,151.64, 67,829.19 and 27,930.90

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Solution

The fourth proportional to 49,151.64, 67,829.19 and 27,930.90 is: 38,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151.64 : 67,829.19 = 27,930.90 : x
  2. Step 2: Convert to fraction form
    49,151.64/67,829.19 = 27,930.90/x
  3. Step 3: Cross multiply
    49,151.64x = 67,829.19 × 27,930.90
  4. Step 4: Simplify right side
    49,151.64x = 1,894,530,322.97
  5. Step 5: Solve for x
    x = 1,894,530,322.97/49,151.64
  6. Step 6: Final answer
    x = 38,544.60

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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.