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Finding the Fourth Proportional to 45,205.70, 67,733.76 and 32,034.56

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Solution

The fourth proportional to 45,205.70, 67,733.76 and 32,034.56 is: 47,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205.70 : 67,733.76 = 32,034.56 : x
  2. Step 2: Convert to fraction form
    45,205.70/67,733.76 = 32,034.56/x
  3. Step 3: Cross multiply
    45,205.70x = 67,733.76 × 32,034.56
  4. Step 4: Simplify right side
    45,205.70x = 2,169,821,198.75
  5. Step 5: Solve for x
    x = 2,169,821,198.75/45,205.70
  6. Step 6: Final answer
    x = 47,998.84

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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.