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Finding the Fourth Proportional to 74,691.92, 111,996.54 and 29,667.67

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Solution

The fourth proportional to 74,691.92, 111,996.54 and 29,667.67 is: 44,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,691.92 : 111,996.54 = 29,667.67 : x
  2. Step 2: Convert to fraction form
    74,691.92/111,996.54 = 29,667.67/x
  3. Step 3: Cross multiply
    74,691.92x = 111,996.54 × 29,667.67
  4. Step 4: Simplify right side
    74,691.92x = 3,322,676,109.87
  5. Step 5: Solve for x
    x = 3,322,676,109.87/74,691.92
  6. Step 6: Final answer
    x = 44,485.08

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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.