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Finding the Fourth Proportional to 31,390.80, 47,086.14 and 8,017.20

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Solution

The fourth proportional to 31,390.80, 47,086.14 and 8,017.20 is: 12,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.80 : 47,086.14 = 8,017.20 : x
  2. Step 2: Convert to fraction form
    31,390.80/47,086.14 = 8,017.20/x
  3. Step 3: Cross multiply
    31,390.80x = 47,086.14 × 8,017.20
  4. Step 4: Simplify right side
    31,390.80x = 377,499,001.61
  5. Step 5: Solve for x
    x = 377,499,001.61/31,390.80
  6. Step 6: Final answer
    x = 12,025.78

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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.