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Finding the Fourth Proportional to 106,351.92, 159,528.42 and 27,460.71

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Solution

The fourth proportional to 106,351.92, 159,528.42 and 27,460.71 is: 41,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,351.92 : 159,528.42 = 27,460.71 : x
  2. Step 2: Convert to fraction form
    106,351.92/159,528.42 = 27,460.71/x
  3. Step 3: Cross multiply
    106,351.92x = 159,528.42 × 27,460.71
  4. Step 4: Simplify right side
    106,351.92x = 4,380,763,678.38
  5. Step 5: Solve for x
    x = 4,380,763,678.38/106,351.92
  6. Step 6: Final answer
    x = 41,191.20

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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.