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Finding the Fourth Proportional to 49,166.88, 67,834.08 and 27,938.40

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Solution

The fourth proportional to 49,166.88, 67,834.08 and 27,938.40 is: 38,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166.88 : 67,834.08 = 27,938.40 : x
  2. Step 2: Convert to fraction form
    49,166.88/67,834.08 = 27,938.40/x
  3. Step 3: Cross multiply
    49,166.88x = 67,834.08 × 27,938.40
  4. Step 4: Simplify right side
    49,166.88x = 1,895,175,660.67
  5. Step 5: Solve for x
    x = 1,895,175,660.67/49,166.88
  6. Step 6: Final answer
    x = 38,545.78

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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.