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Finding the Fourth Proportional to 110,487.92, 165,731.78 and 27,381.92

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Solution

The fourth proportional to 110,487.92, 165,731.78 and 27,381.92 is: 41,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,487.92 : 165,731.78 = 27,381.92 : x
  2. Step 2: Convert to fraction form
    110,487.92/165,731.78 = 27,381.92/x
  3. Step 3: Cross multiply
    110,487.92x = 165,731.78 × 27,381.92
  4. Step 4: Simplify right side
    110,487.92x = 4,538,054,341.42
  5. Step 5: Solve for x
    x = 4,538,054,341.42/110,487.92
  6. Step 6: Final answer
    x = 41,072.86

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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.