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Finding the Fourth Proportional to 67,049.92, 92,545.52 and 38,772

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Solution

The fourth proportional to 67,049.92, 92,545.52 and 38,772 is: 53,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,049.92 : 92,545.52 = 38,772 : x
  2. Step 2: Convert to fraction form
    67,049.92/92,545.52 = 38,772/x
  3. Step 3: Cross multiply
    67,049.92x = 92,545.52 × 38,772
  4. Step 4: Simplify right side
    67,049.92x = 3,588,174,901.44
  5. Step 5: Solve for x
    x = 3,588,174,901.44/67,049.92
  6. Step 6: Final answer
    x = 53,514.98

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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.