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Finding the Fourth Proportional to 47,672.70, 71,509.05 and 36,635.10

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Solution

The fourth proportional to 47,672.70, 71,509.05 and 36,635.10 is: 54,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.70 : 71,509.05 = 36,635.10 : x
  2. Step 2: Convert to fraction form
    47,672.70/71,509.05 = 36,635.10/x
  3. Step 3: Cross multiply
    47,672.70x = 71,509.05 × 36,635.10
  4. Step 4: Simplify right side
    47,672.70x = 2,619,741,197.66
  5. Step 5: Solve for x
    x = 2,619,741,197.66/47,672.70
  6. Step 6: Final answer
    x = 54,952.65

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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.