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Finding the Fourth Proportional to 99,894.78, 149,842.27 and 27,844.81

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Solution

The fourth proportional to 99,894.78, 149,842.27 and 27,844.81 is: 41,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.78 : 149,842.27 = 27,844.81 : x
  2. Step 2: Convert to fraction form
    99,894.78/149,842.27 = 27,844.81/x
  3. Step 3: Cross multiply
    99,894.78x = 149,842.27 × 27,844.81
  4. Step 4: Simplify right side
    99,894.78x = 4,172,329,923.71
  5. Step 5: Solve for x
    x = 4,172,329,923.71/99,894.78
  6. Step 6: Final answer
    x = 41,767.25

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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.