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Finding the Fourth Proportional to 30,591.87, 45,882.33 and 8,102.70

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Solution

The fourth proportional to 30,591.87, 45,882.33 and 8,102.70 is: 12,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.87 : 45,882.33 = 8,102.70 : x
  2. Step 2: Convert to fraction form
    30,591.87/45,882.33 = 8,102.70/x
  3. Step 3: Cross multiply
    30,591.87x = 45,882.33 × 8,102.70
  4. Step 4: Simplify right side
    30,591.87x = 371,770,755.29
  5. Step 5: Solve for x
    x = 371,770,755.29/30,591.87
  6. Step 6: Final answer
    x = 12,152.60

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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.