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Finding the Fourth Proportional to 121,149.69, 181,724.49 and 32,400.89

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Solution

The fourth proportional to 121,149.69, 181,724.49 and 32,400.89 is: 48,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,149.69 : 181,724.49 = 32,400.89 : x
  2. Step 2: Convert to fraction form
    121,149.69/181,724.49 = 32,400.89/x
  3. Step 3: Cross multiply
    121,149.69x = 181,724.49 × 32,400.89
  4. Step 4: Simplify right side
    121,149.69x = 5,888,035,210.80
  5. Step 5: Solve for x
    x = 5,888,035,210.80/121,149.69
  6. Step 6: Final answer
    x = 48,601.32

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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.