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Finding the Fourth Proportional to 34,178.46, 47,167.38 and 19,837.20

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Solution

The fourth proportional to 34,178.46, 47,167.38 and 19,837.20 is: 27,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.46 : 47,167.38 = 19,837.20 : x
  2. Step 2: Convert to fraction form
    34,178.46/47,167.38 = 19,837.20/x
  3. Step 3: Cross multiply
    34,178.46x = 47,167.38 × 19,837.20
  4. Step 4: Simplify right side
    34,178.46x = 935,668,750.54
  5. Step 5: Solve for x
    x = 935,668,750.54/34,178.46
  6. Step 6: Final answer
    x = 27,375.98

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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.