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Finding the Fourth Proportional to 49,155.50, 67,834.51 and 27,934.78

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Solution

The fourth proportional to 49,155.50, 67,834.51 and 27,934.78 is: 38,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,155.50 : 67,834.51 = 27,934.78 : x
  2. Step 2: Convert to fraction form
    49,155.50/67,834.51 = 27,934.78/x
  3. Step 3: Cross multiply
    49,155.50x = 67,834.51 × 27,934.78
  4. Step 4: Simplify right side
    49,155.50x = 1,894,942,113.26
  5. Step 5: Solve for x
    x = 1,894,942,113.26/49,155.50
  6. Step 6: Final answer
    x = 38,549.95

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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.