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Finding the Fourth Proportional to 31,715.88, 47,570.04 and 8,344.14

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Solution

The fourth proportional to 31,715.88, 47,570.04 and 8,344.14 is: 12,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.88 : 47,570.04 = 8,344.14 : x
  2. Step 2: Convert to fraction form
    31,715.88/47,570.04 = 8,344.14/x
  3. Step 3: Cross multiply
    31,715.88x = 47,570.04 × 8,344.14
  4. Step 4: Simplify right side
    31,715.88x = 396,931,073.57
  5. Step 5: Solve for x
    x = 396,931,073.57/31,715.88
  6. Step 6: Final answer
    x = 12,515.22

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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.