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Finding the Fourth Proportional to 31,588.56, 47,382.90 and 8,215.20

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Solution

The fourth proportional to 31,588.56, 47,382.90 and 8,215.20 is: 12,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.56 : 47,382.90 = 8,215.20 : x
  2. Step 2: Convert to fraction form
    31,588.56/47,382.90 = 8,215.20/x
  3. Step 3: Cross multiply
    31,588.56x = 47,382.90 × 8,215.20
  4. Step 4: Simplify right side
    31,588.56x = 389,260,000.08
  5. Step 5: Solve for x
    x = 389,260,000.08/31,588.56
  6. Step 6: Final answer
    x = 12,322.82

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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.