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Finding the Fourth Proportional to 47,494.29, 65,545.38 and 27,356.49

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Solution

The fourth proportional to 47,494.29, 65,545.38 and 27,356.49 is: 37,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.29 : 65,545.38 = 27,356.49 : x
  2. Step 2: Convert to fraction form
    47,494.29/65,545.38 = 27,356.49/x
  3. Step 3: Cross multiply
    47,494.29x = 65,545.38 × 27,356.49
  4. Step 4: Simplify right side
    47,494.29x = 1,793,091,532.52
  5. Step 5: Solve for x
    x = 1,793,091,532.52/47,494.29
  6. Step 6: Final answer
    x = 37,753.83

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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.