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Finding the Fourth Proportional to 81,841.92, 122,732.80 and 29,237.12

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Solution

The fourth proportional to 81,841.92, 122,732.80 and 29,237.12 is: 43,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.92 : 122,732.80 = 29,237.12 : x
  2. Step 2: Convert to fraction form
    81,841.92/122,732.80 = 29,237.12/x
  3. Step 3: Cross multiply
    81,841.92x = 122,732.80 × 29,237.12
  4. Step 4: Simplify right side
    81,841.92x = 3,588,353,601.54
  5. Step 5: Solve for x
    x = 3,588,353,601.54/81,841.92
  6. Step 6: Final answer
    x = 43,844.93

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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.