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Finding the Fourth Proportional to 49,166.86, 67,850.52 and 27,946.12

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Solution

The fourth proportional to 49,166.86, 67,850.52 and 27,946.12 is: 38,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166.86 : 67,850.52 = 27,946.12 : x
  2. Step 2: Convert to fraction form
    49,166.86/67,850.52 = 27,946.12/x
  3. Step 3: Cross multiply
    49,166.86x = 67,850.52 × 27,946.12
  4. Step 4: Simplify right side
    49,166.86x = 1,896,158,773.98
  5. Step 5: Solve for x
    x = 1,896,158,773.98/49,166.86
  6. Step 6: Final answer
    x = 38,565.79

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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.