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Finding the Fourth Proportional to 99,785.92, 149,702.80 and 33,226.65

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Solution

The fourth proportional to 99,785.92, 149,702.80 and 33,226.65 is: 49,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,785.92 : 149,702.80 = 33,226.65 : x
  2. Step 2: Convert to fraction form
    99,785.92/149,702.80 = 33,226.65/x
  3. Step 3: Cross multiply
    99,785.92x = 149,702.80 × 33,226.65
  4. Step 4: Simplify right side
    99,785.92x = 4,974,122,456.55
  5. Step 5: Solve for x
    x = 4,974,122,456.55/99,785.92
  6. Step 6: Final answer
    x = 49,847.94

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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.