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Finding the Fourth Proportional to 34,251.12, 51,380.10 and 9,291.58

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Solution

The fourth proportional to 34,251.12, 51,380.10 and 9,291.58 is: 13,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,251.12 : 51,380.10 = 9,291.58 : x
  2. Step 2: Convert to fraction form
    34,251.12/51,380.10 = 9,291.58/x
  3. Step 3: Cross multiply
    34,251.12x = 51,380.10 × 9,291.58
  4. Step 4: Simplify right side
    34,251.12x = 477,402,309.56
  5. Step 5: Solve for x
    x = 477,402,309.56/34,251.12
  6. Step 6: Final answer
    x = 13,938.30

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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.