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Finding the Fourth Proportional to 31,874.17, 47,812.82 and 12,149.05

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Solution

The fourth proportional to 31,874.17, 47,812.82 and 12,149.05 is: 18,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.17 : 47,812.82 = 12,149.05 : x
  2. Step 2: Convert to fraction form
    31,874.17/47,812.82 = 12,149.05/x
  3. Step 3: Cross multiply
    31,874.17x = 47,812.82 × 12,149.05
  4. Step 4: Simplify right side
    31,874.17x = 580,880,280.08
  5. Step 5: Solve for x
    x = 580,880,280.08/31,874.17
  6. Step 6: Final answer
    x = 18,224.17

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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.