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Finding the Fourth Proportional to 31,785.64, 47,672.70 and 10,722.76

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Solution

The fourth proportional to 31,785.64, 47,672.70 and 10,722.76 is: 16,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.64 : 47,672.70 = 10,722.76 : x
  2. Step 2: Convert to fraction form
    31,785.64/47,672.70 = 10,722.76/x
  3. Step 3: Cross multiply
    31,785.64x = 47,672.70 × 10,722.76
  4. Step 4: Simplify right side
    31,785.64x = 511,182,920.65
  5. Step 5: Solve for x
    x = 511,182,920.65/31,785.64
  6. Step 6: Final answer
    x = 16,082.20

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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.