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Finding the Fourth Proportional to 82,378.80, 123,568.20 and 23,213.70

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Solution

The fourth proportional to 82,378.80, 123,568.20 and 23,213.70 is: 34,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.80 : 123,568.20 = 23,213.70 : x
  2. Step 2: Convert to fraction form
    82,378.80/123,568.20 = 23,213.70/x
  3. Step 3: Cross multiply
    82,378.80x = 123,568.20 × 23,213.70
  4. Step 4: Simplify right side
    82,378.80x = 2,868,475,124.34
  5. Step 5: Solve for x
    x = 2,868,475,124.34/82,378.80
  6. Step 6: Final answer
    x = 34,820.55

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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.