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Finding the Fourth Proportional to 109,815, 151,545.24 and 59,514

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Solution

The fourth proportional to 109,815, 151,545.24 and 59,514 is: 82,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,815 : 151,545.24 = 59,514 : x
  2. Step 2: Convert to fraction form
    109,815/151,545.24 = 59,514/x
  3. Step 3: Cross multiply
    109,815x = 151,545.24 × 59,514
  4. Step 4: Simplify right side
    109,815x = 9,019,063,413.36
  5. Step 5: Solve for x
    x = 9,019,063,413.36/109,815
  6. Step 6: Final answer
    x = 82,129.61

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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.