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Finding the Fourth Proportional to 29,311.67, 43,970.10 and 8,251.90

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Solution

The fourth proportional to 29,311.67, 43,970.10 and 8,251.90 is: 12,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.67 : 43,970.10 = 8,251.90 : x
  2. Step 2: Convert to fraction form
    29,311.67/43,970.10 = 8,251.90/x
  3. Step 3: Cross multiply
    29,311.67x = 43,970.10 × 8,251.90
  4. Step 4: Simplify right side
    29,311.67x = 362,836,868.19
  5. Step 5: Solve for x
    x = 362,836,868.19/29,311.67
  6. Step 6: Final answer
    x = 12,378.58

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Why These Related Problems?

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