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Finding the Fourth Proportional to 47,311.47, 70,969.02 and 12,251.22

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Solution

The fourth proportional to 47,311.47, 70,969.02 and 12,251.22 is: 18,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.47 : 70,969.02 = 12,251.22 : x
  2. Step 2: Convert to fraction form
    47,311.47/70,969.02 = 12,251.22/x
  3. Step 3: Cross multiply
    47,311.47x = 70,969.02 × 12,251.22
  4. Step 4: Simplify right side
    47,311.47x = 869,457,077.20
  5. Step 5: Solve for x
    x = 869,457,077.20/47,311.47
  6. Step 6: Final answer
    x = 18,377.30

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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.