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Finding the Fourth Proportional to 29,769.78, 41,098.98 and 20,260.92

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Solution

The fourth proportional to 29,769.78, 41,098.98 and 20,260.92 is: 27,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.78 : 41,098.98 = 20,260.92 : x
  2. Step 2: Convert to fraction form
    29,769.78/41,098.98 = 20,260.92/x
  3. Step 3: Cross multiply
    29,769.78x = 41,098.98 × 20,260.92
  4. Step 4: Simplify right side
    29,769.78x = 832,703,145.86
  5. Step 5: Solve for x
    x = 832,703,145.86/29,769.78
  6. Step 6: Final answer
    x = 27,971.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.