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Finding the Fourth Proportional to 87,413.40, 131,129.70 and 32,021.40

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Solution

The fourth proportional to 87,413.40, 131,129.70 and 32,021.40 is: 48,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,413.40 : 131,129.70 = 32,021.40 : x
  2. Step 2: Convert to fraction form
    87,413.40/131,129.70 = 32,021.40/x
  3. Step 3: Cross multiply
    87,413.40x = 131,129.70 × 32,021.40
  4. Step 4: Simplify right side
    87,413.40x = 4,198,956,575.58
  5. Step 5: Solve for x
    x = 4,198,956,575.58/87,413.40
  6. Step 6: Final answer
    x = 48,035.62

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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.