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Finding the Fourth Proportional to 36,034.38, 49,713.12 and 24,078.78

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Solution

The fourth proportional to 36,034.38, 49,713.12 and 24,078.78 is: 33,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,034.38 : 49,713.12 = 24,078.78 : x
  2. Step 2: Convert to fraction form
    36,034.38/49,713.12 = 24,078.78/x
  3. Step 3: Cross multiply
    36,034.38x = 49,713.12 × 24,078.78
  4. Step 4: Simplify right side
    36,034.38x = 1,197,031,279.59
  5. Step 5: Solve for x
    x = 1,197,031,279.59/36,034.38
  6. Step 6: Final answer
    x = 33,219.14

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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.