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Finding the Fourth Proportional to 33,158.70, 49,738.05 and 9,785.10

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Solution

The fourth proportional to 33,158.70, 49,738.05 and 9,785.10 is: 14,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158.70 : 49,738.05 = 9,785.10 : x
  2. Step 2: Convert to fraction form
    33,158.70/49,738.05 = 9,785.10/x
  3. Step 3: Cross multiply
    33,158.70x = 49,738.05 × 9,785.10
  4. Step 4: Simplify right side
    33,158.70x = 486,691,793.06
  5. Step 5: Solve for x
    x = 486,691,793.06/33,158.70
  6. Step 6: Final answer
    x = 14,677.65

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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.