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Finding the Fourth Proportional to 59,722.46, 82,413.90 and 32,867.48

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Solution

The fourth proportional to 59,722.46, 82,413.90 and 32,867.48 is: 45,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,722.46 : 82,413.90 = 32,867.48 : x
  2. Step 2: Convert to fraction form
    59,722.46/82,413.90 = 32,867.48/x
  3. Step 3: Cross multiply
    59,722.46x = 82,413.90 × 32,867.48
  4. Step 4: Simplify right side
    59,722.46x = 2,708,737,209.97
  5. Step 5: Solve for x
    x = 2,708,737,209.97/59,722.46
  6. Step 6: Final answer
    x = 45,355.42

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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.