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Finding the Fourth Proportional to 39,138.42, 54,013.69 and 22,142.65

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Solution

The fourth proportional to 39,138.42, 54,013.69 and 22,142.65 is: 30,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138.42 : 54,013.69 = 22,142.65 : x
  2. Step 2: Convert to fraction form
    39,138.42/54,013.69 = 22,142.65/x
  3. Step 3: Cross multiply
    39,138.42x = 54,013.69 × 22,142.65
  4. Step 4: Simplify right side
    39,138.42x = 1,196,006,432.22
  5. Step 5: Solve for x
    x = 1,196,006,432.22/39,138.42
  6. Step 6: Final answer
    x = 30,558.38

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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.