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Finding the Fourth Proportional to 31,589.64, 47,384.52 and 8,216.04

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Solution

The fourth proportional to 31,589.64, 47,384.52 and 8,216.04 is: 12,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.64 : 47,384.52 = 8,216.04 : x
  2. Step 2: Convert to fraction form
    31,589.64/47,384.52 = 8,216.04/x
  3. Step 3: Cross multiply
    31,589.64x = 47,384.52 × 8,216.04
  4. Step 4: Simplify right side
    31,589.64x = 389,313,111.70
  5. Step 5: Solve for x
    x = 389,313,111.70/31,589.64
  6. Step 6: Final answer
    x = 12,324.08

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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.