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Finding the Fourth Proportional to 99,326, 149,082.63 and 36,207.13

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Solution

The fourth proportional to 99,326, 149,082.63 and 36,207.13 is: 54,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,326 : 149,082.63 = 36,207.13 : x
  2. Step 2: Convert to fraction form
    99,326/149,082.63 = 36,207.13/x
  3. Step 3: Cross multiply
    99,326x = 149,082.63 × 36,207.13
  4. Step 4: Simplify right side
    99,326x = 5,397,853,419.74
  5. Step 5: Solve for x
    x = 5,397,853,419.74/99,326
  6. Step 6: Final answer
    x = 54,344.82

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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.