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Finding the Fourth Proportional to 31,617.92, 47,426.88 and 9,446.87

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Solution

The fourth proportional to 31,617.92, 47,426.88 and 9,446.87 is: 14,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.92 : 47,426.88 = 9,446.87 : x
  2. Step 2: Convert to fraction form
    31,617.92/47,426.88 = 9,446.87/x
  3. Step 3: Cross multiply
    31,617.92x = 47,426.88 × 9,446.87
  4. Step 4: Simplify right side
    31,617.92x = 448,035,332.73
  5. Step 5: Solve for x
    x = 448,035,332.73/31,617.92
  6. Step 6: Final answer
    x = 14,170.30

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1.5x scale

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.