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Finding the Fourth Proportional to 99,921.84, 149,879.16 and 25,042.56

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Solution

The fourth proportional to 99,921.84, 149,879.16 and 25,042.56 is: 37,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,921.84 : 149,879.16 = 25,042.56 : x
  2. Step 2: Convert to fraction form
    99,921.84/149,879.16 = 25,042.56/x
  3. Step 3: Cross multiply
    99,921.84x = 149,879.16 × 25,042.56
  4. Step 4: Simplify right side
    99,921.84x = 3,753,357,857.05
  5. Step 5: Solve for x
    x = 3,753,357,857.05/99,921.84
  6. Step 6: Final answer
    x = 37,562.94

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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.