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Finding the Fourth Proportional to 48,406.52, 72,545.18 and 25,871

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Solution

The fourth proportional to 48,406.52, 72,545.18 and 25,871 is: 38,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406.52 : 72,545.18 = 25,871 : x
  2. Step 2: Convert to fraction form
    48,406.52/72,545.18 = 25,871/x
  3. Step 3: Cross multiply
    48,406.52x = 72,545.18 × 25,871
  4. Step 4: Simplify right side
    48,406.52x = 1,876,816,351.78
  5. Step 5: Solve for x
    x = 1,876,816,351.78/48,406.52
  6. Step 6: Final answer
    x = 38,771.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.