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Finding the Fourth Proportional to 81,509.97, 122,265.36 and 37,105.65

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Solution

The fourth proportional to 81,509.97, 122,265.36 and 37,105.65 is: 55,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.97 : 122,265.36 = 37,105.65 : x
  2. Step 2: Convert to fraction form
    81,509.97/122,265.36 = 37,105.65/x
  3. Step 3: Cross multiply
    81,509.97x = 122,265.36 × 37,105.65
  4. Step 4: Simplify right side
    81,509.97x = 4,536,735,655.28
  5. Step 5: Solve for x
    x = 4,536,735,655.28/81,509.97
  6. Step 6: Final answer
    x = 55,658.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.