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Finding the Fourth Proportional to 31,990.16, 47,987.67 and 8,616.80

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Solution

The fourth proportional to 31,990.16, 47,987.67 and 8,616.80 is: 12,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.16 : 47,987.67 = 8,616.80 : x
  2. Step 2: Convert to fraction form
    31,990.16/47,987.67 = 8,616.80/x
  3. Step 3: Cross multiply
    31,990.16x = 47,987.67 × 8,616.80
  4. Step 4: Simplify right side
    31,990.16x = 413,500,154.86
  5. Step 5: Solve for x
    x = 413,500,154.86/31,990.16
  6. Step 6: Final answer
    x = 12,925.85

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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.