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Finding the Fourth Proportional to 31,734.46, 47,602.89 and 9,550.99

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Solution

The fourth proportional to 31,734.46, 47,602.89 and 9,550.99 is: 14,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734.46 : 47,602.89 = 9,550.99 : x
  2. Step 2: Convert to fraction form
    31,734.46/47,602.89 = 9,550.99/x
  3. Step 3: Cross multiply
    31,734.46x = 47,602.89 × 9,550.99
  4. Step 4: Simplify right side
    31,734.46x = 454,654,726.36
  5. Step 5: Solve for x
    x = 454,654,726.36/31,734.46
  6. Step 6: Final answer
    x = 14,326.85

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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.