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Finding the Fourth Proportional to 42,514.56, 63,758.88 and 34,174.80

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Solution

The fourth proportional to 42,514.56, 63,758.88 and 34,174.80 is: 51,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,514.56 : 63,758.88 = 34,174.80 : x
  2. Step 2: Convert to fraction form
    42,514.56/63,758.88 = 34,174.80/x
  3. Step 3: Cross multiply
    42,514.56x = 63,758.88 × 34,174.80
  4. Step 4: Simplify right side
    42,514.56x = 2,178,946,972.22
  5. Step 5: Solve for x
    x = 2,178,946,972.22/42,514.56
  6. Step 6: Final answer
    x = 51,251.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.