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Finding the Fourth Proportional to 95,350.08, 142,992.72 and 33,006

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Solution

The fourth proportional to 95,350.08, 142,992.72 and 33,006 is: 49,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,350.08 : 142,992.72 = 33,006 : x
  2. Step 2: Convert to fraction form
    95,350.08/142,992.72 = 33,006/x
  3. Step 3: Cross multiply
    95,350.08x = 142,992.72 × 33,006
  4. Step 4: Simplify right side
    95,350.08x = 4,719,617,716.32
  5. Step 5: Solve for x
    x = 4,719,617,716.32/95,350.08
  6. Step 6: Final answer
    x = 49,497.78

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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.