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Finding the Fourth Proportional to 31,612.38, 47,423.16 and 12,893.56

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Solution

The fourth proportional to 31,612.38, 47,423.16 and 12,893.56 is: 19,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.38 : 47,423.16 = 12,893.56 : x
  2. Step 2: Convert to fraction form
    31,612.38/47,423.16 = 12,893.56/x
  3. Step 3: Cross multiply
    31,612.38x = 47,423.16 × 12,893.56
  4. Step 4: Simplify right side
    31,612.38x = 611,453,358.85
  5. Step 5: Solve for x
    x = 611,453,358.85/31,612.38
  6. Step 6: Final answer
    x = 19,342.21

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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.