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Finding the Fourth Proportional to 99,806.93, 149,713.13 and 33,244.68

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Solution

The fourth proportional to 99,806.93, 149,713.13 and 33,244.68 is: 49,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.93 : 149,713.13 = 33,244.68 : x
  2. Step 2: Convert to fraction form
    99,806.93/149,713.13 = 33,244.68/x
  3. Step 3: Cross multiply
    99,806.93x = 149,713.13 × 33,244.68
  4. Step 4: Simplify right side
    99,806.93x = 4,977,165,098.65
  5. Step 5: Solve for x
    x = 4,977,165,098.65/99,806.93
  6. Step 6: Final answer
    x = 49,867.93

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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.