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Finding the Fourth Proportional to 31,866.92, 47,794.46 and 14,765.74

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Solution

The fourth proportional to 31,866.92, 47,794.46 and 14,765.74 is: 22,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.92 : 47,794.46 = 14,765.74 : x
  2. Step 2: Convert to fraction form
    31,866.92/47,794.46 = 14,765.74/x
  3. Step 3: Cross multiply
    31,866.92x = 47,794.46 × 14,765.74
  4. Step 4: Simplify right side
    31,866.92x = 705,720,645.33
  5. Step 5: Solve for x
    x = 705,720,645.33/31,866.92
  6. Step 6: Final answer
    x = 22,145.87

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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.