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Finding the Fourth Proportional to 31,920.69, 47,888.79 and 9,734.46

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Solution

The fourth proportional to 31,920.69, 47,888.79 and 9,734.46 is: 14,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.69 : 47,888.79 = 9,734.46 : x
  2. Step 2: Convert to fraction form
    31,920.69/47,888.79 = 9,734.46/x
  3. Step 3: Cross multiply
    31,920.69x = 47,888.79 × 9,734.46
  4. Step 4: Simplify right side
    31,920.69x = 466,171,510.70
  5. Step 5: Solve for x
    x = 466,171,510.70/31,920.69
  6. Step 6: Final answer
    x = 14,604.05

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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.