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Finding the Fourth Proportional to 121,616.20, 182,424.30 and 32,867.20

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Solution

The fourth proportional to 121,616.20, 182,424.30 and 32,867.20 is: 49,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,616.20 : 182,424.30 = 32,867.20 : x
  2. Step 2: Convert to fraction form
    121,616.20/182,424.30 = 32,867.20/x
  3. Step 3: Cross multiply
    121,616.20x = 182,424.30 × 32,867.20
  4. Step 4: Simplify right side
    121,616.20x = 5,995,775,952.96
  5. Step 5: Solve for x
    x = 5,995,775,952.96/121,616.20
  6. Step 6: Final answer
    x = 49,300.80

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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.