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Finding the Fourth Proportional to 31,722.92, 47,591.34 and 9,538.28

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Solution

The fourth proportional to 31,722.92, 47,591.34 and 9,538.28 is: 14,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.92 : 47,591.34 = 9,538.28 : x
  2. Step 2: Convert to fraction form
    31,722.92/47,591.34 = 9,538.28/x
  3. Step 3: Cross multiply
    31,722.92x = 47,591.34 × 9,538.28
  4. Step 4: Simplify right side
    31,722.92x = 453,939,526.50
  5. Step 5: Solve for x
    x = 453,939,526.50/31,722.92
  6. Step 6: Final answer
    x = 14,309.51

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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.