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Finding the Fourth Proportional to 39,145.38, 54,034.64 and 23,229.83

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Solution

The fourth proportional to 39,145.38, 54,034.64 and 23,229.83 is: 32,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,145.38 : 54,034.64 = 23,229.83 : x
  2. Step 2: Convert to fraction form
    39,145.38/54,034.64 = 23,229.83/x
  3. Step 3: Cross multiply
    39,145.38x = 54,034.64 × 23,229.83
  4. Step 4: Simplify right side
    39,145.38x = 1,255,215,114.99
  5. Step 5: Solve for x
    x = 1,255,215,114.99/39,145.38
  6. Step 6: Final answer
    x = 32,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.