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Finding the Fourth Proportional to 34,489.20, 51,830.68 and 20,451.22

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Solution

The fourth proportional to 34,489.20, 51,830.68 and 20,451.22 is: 30,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.20 : 51,830.68 = 20,451.22 : x
  2. Step 2: Convert to fraction form
    34,489.20/51,830.68 = 20,451.22/x
  3. Step 3: Cross multiply
    34,489.20x = 51,830.68 × 20,451.22
  4. Step 4: Simplify right side
    34,489.20x = 1,060,000,639.43
  5. Step 5: Solve for x
    x = 1,060,000,639.43/34,489.20
  6. Step 6: Final answer
    x = 30,734.28

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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.