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Finding the Fourth Proportional to 97,864.86, 146,797.28 and 27,744.78

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Solution

The fourth proportional to 97,864.86, 146,797.28 and 27,744.78 is: 41,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,864.86 : 146,797.28 = 27,744.78 : x
  2. Step 2: Convert to fraction form
    97,864.86/146,797.28 = 27,744.78/x
  3. Step 3: Cross multiply
    97,864.86x = 146,797.28 × 27,744.78
  4. Step 4: Simplify right side
    97,864.86x = 4,072,858,238.20
  5. Step 5: Solve for x
    x = 4,072,858,238.20/97,864.86
  6. Step 6: Final answer
    x = 41,617.17

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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.