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Finding the Fourth Proportional to 49,901.42, 68,863.92 and 27,545.42

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Solution

The fourth proportional to 49,901.42, 68,863.92 and 27,545.42 is: 38,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901.42 : 68,863.92 = 27,545.42 : x
  2. Step 2: Convert to fraction form
    49,901.42/68,863.92 = 27,545.42/x
  3. Step 3: Cross multiply
    49,901.42x = 68,863.92 × 27,545.42
  4. Step 4: Simplify right side
    49,901.42x = 1,896,885,599.25
  5. Step 5: Solve for x
    x = 1,896,885,599.25/49,901.42
  6. Step 6: Final answer
    x = 38,012.66

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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.