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Finding the Fourth Proportional to 31,920.94, 47,889.17 and 9,734.71

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Solution

The fourth proportional to 31,920.94, 47,889.17 and 9,734.71 is: 14,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.94 : 47,889.17 = 9,734.71 : x
  2. Step 2: Convert to fraction form
    31,920.94/47,889.17 = 9,734.71/x
  3. Step 3: Cross multiply
    31,920.94x = 47,889.17 × 9,734.71
  4. Step 4: Simplify right side
    31,920.94x = 466,187,182.09
  5. Step 5: Solve for x
    x = 466,187,182.09/31,920.94
  6. Step 6: Final answer
    x = 14,604.43

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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.