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Finding the Fourth Proportional to 31,917.92, 47,834.64 and 24,494

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Solution

The fourth proportional to 31,917.92, 47,834.64 and 24,494 is: 36,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.92 : 47,834.64 = 24,494 : x
  2. Step 2: Convert to fraction form
    31,917.92/47,834.64 = 24,494/x
  3. Step 3: Cross multiply
    31,917.92x = 47,834.64 × 24,494
  4. Step 4: Simplify right side
    31,917.92x = 1,171,661,672.16
  5. Step 5: Solve for x
    x = 1,171,661,672.16/31,917.92
  6. Step 6: Final answer
    x = 36,708.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.