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Finding the Fourth Proportional to 67,742.65, 101,648.85 and 32,244.22

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Solution

The fourth proportional to 67,742.65, 101,648.85 and 32,244.22 is: 48,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742.65 : 101,648.85 = 32,244.22 : x
  2. Step 2: Convert to fraction form
    67,742.65/101,648.85 = 32,244.22/x
  3. Step 3: Cross multiply
    67,742.65x = 101,648.85 × 32,244.22
  4. Step 4: Simplify right side
    67,742.65x = 3,277,587,882.15
  5. Step 5: Solve for x
    x = 3,277,587,882.15/67,742.65
  6. Step 6: Final answer
    x = 48,382.93

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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.