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Finding the Fourth Proportional to 31,817.24, 47,725.02 and 8,443.88

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Solution

The fourth proportional to 31,817.24, 47,725.02 and 8,443.88 is: 12,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.24 : 47,725.02 = 8,443.88 : x
  2. Step 2: Convert to fraction form
    31,817.24/47,725.02 = 8,443.88/x
  3. Step 3: Cross multiply
    31,817.24x = 47,725.02 × 8,443.88
  4. Step 4: Simplify right side
    31,817.24x = 402,984,341.88
  5. Step 5: Solve for x
    x = 402,984,341.88/31,817.24
  6. Step 6: Final answer
    x = 12,665.60

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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.