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Finding the Fourth Proportional to 83,600.76, 125,413.74 and 24,429

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Solution

The fourth proportional to 83,600.76, 125,413.74 and 24,429 is: 36,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,600.76 : 125,413.74 = 24,429 : x
  2. Step 2: Convert to fraction form
    83,600.76/125,413.74 = 24,429/x
  3. Step 3: Cross multiply
    83,600.76x = 125,413.74 × 24,429
  4. Step 4: Simplify right side
    83,600.76x = 3,063,732,254.46
  5. Step 5: Solve for x
    x = 3,063,732,254.46/83,600.76
  6. Step 6: Final answer
    x = 36,647.18

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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.