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Finding the Fourth Proportional to 83,193, 124,713.36 and 30,562.44

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Solution

The fourth proportional to 83,193, 124,713.36 and 30,562.44 is: 45,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193 : 124,713.36 = 30,562.44 : x
  2. Step 2: Convert to fraction form
    83,193/124,713.36 = 30,562.44/x
  3. Step 3: Cross multiply
    83,193x = 124,713.36 × 30,562.44
  4. Step 4: Simplify right side
    83,193x = 3,811,544,582.20
  5. Step 5: Solve for x
    x = 3,811,544,582.20/83,193
  6. Step 6: Final answer
    x = 45,815.69

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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.