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Finding the Fourth Proportional to 121,149.41, 181,724.07 and 32,400.61

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Solution

The fourth proportional to 121,149.41, 181,724.07 and 32,400.61 is: 48,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,149.41 : 181,724.07 = 32,400.61 : x
  2. Step 2: Convert to fraction form
    121,149.41/181,724.07 = 32,400.61/x
  3. Step 3: Cross multiply
    121,149.41x = 181,724.07 × 32,400.61
  4. Step 4: Simplify right side
    121,149.41x = 5,887,970,265.37
  5. Step 5: Solve for x
    x = 5,887,970,265.37/121,149.41
  6. Step 6: Final answer
    x = 48,600.90

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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.