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Finding the Fourth Proportional to 83,213.10, 124,734.60 and 41,028.30

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Solution

The fourth proportional to 83,213.10, 124,734.60 and 41,028.30 is: 61,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.10 : 124,734.60 = 41,028.30 : x
  2. Step 2: Convert to fraction form
    83,213.10/124,734.60 = 41,028.30/x
  3. Step 3: Cross multiply
    83,213.10x = 124,734.60 × 41,028.30
  4. Step 4: Simplify right side
    83,213.10x = 5,117,648,589.18
  5. Step 5: Solve for x
    x = 5,117,648,589.18/83,213.10
  6. Step 6: Final answer
    x = 61,500.52

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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.