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Finding the Fourth Proportional to 31,843.73, 47,765.67 and 8,470.17

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Solution

The fourth proportional to 31,843.73, 47,765.67 and 8,470.17 is: 12,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.73 : 47,765.67 = 8,470.17 : x
  2. Step 2: Convert to fraction form
    31,843.73/47,765.67 = 8,470.17/x
  3. Step 3: Cross multiply
    31,843.73x = 47,765.67 × 8,470.17
  4. Step 4: Simplify right side
    31,843.73x = 404,583,302.71
  5. Step 5: Solve for x
    x = 404,583,302.71/31,843.73
  6. Step 6: Final answer
    x = 12,705.27

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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.