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Finding the Fourth Proportional to 81,592.32, 122,366.20 and 22,413.92

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Solution

The fourth proportional to 81,592.32, 122,366.20 and 22,413.92 is: 33,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,592.32 : 122,366.20 = 22,413.92 : x
  2. Step 2: Convert to fraction form
    81,592.32/122,366.20 = 22,413.92/x
  3. Step 3: Cross multiply
    81,592.32x = 122,366.20 × 22,413.92
  4. Step 4: Simplify right side
    81,592.32x = 2,742,706,217.50
  5. Step 5: Solve for x
    x = 2,742,706,217.50/81,592.32
  6. Step 6: Final answer
    x = 33,614.76

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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.