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Finding the Fourth Proportional to 34,158.65, 51,234.11 and 9,200.52

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Solution

The fourth proportional to 34,158.65, 51,234.11 and 9,200.52 is: 13,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158.65 : 51,234.11 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    34,158.65/51,234.11 = 9,200.52/x
  3. Step 3: Cross multiply
    34,158.65x = 51,234.11 × 9,200.52
  4. Step 4: Simplify right side
    34,158.65x = 471,380,453.74
  5. Step 5: Solve for x
    x = 471,380,453.74/34,158.65
  6. Step 6: Final answer
    x = 13,799.74

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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.