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Finding the Fourth Proportional to 31,414.50, 47,143.35 and 12,946.50

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Solution

The fourth proportional to 31,414.50, 47,143.35 and 12,946.50 is: 19,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.50 : 47,143.35 = 12,946.50 : x
  2. Step 2: Convert to fraction form
    31,414.50/47,143.35 = 12,946.50/x
  3. Step 3: Cross multiply
    31,414.50x = 47,143.35 × 12,946.50
  4. Step 4: Simplify right side
    31,414.50x = 610,341,380.78
  5. Step 5: Solve for x
    x = 610,341,380.78/31,414.50
  6. Step 6: Final answer
    x = 19,428.65

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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.