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Finding the Fourth Proportional to 82,943.82, 124,481.34 and 36,229.50

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Solution

The fourth proportional to 82,943.82, 124,481.34 and 36,229.50 is: 54,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,943.82 : 124,481.34 = 36,229.50 : x
  2. Step 2: Convert to fraction form
    82,943.82/124,481.34 = 36,229.50/x
  3. Step 3: Cross multiply
    82,943.82x = 124,481.34 × 36,229.50
  4. Step 4: Simplify right side
    82,943.82x = 4,509,896,707.53
  5. Step 5: Solve for x
    x = 4,509,896,707.53/82,943.82
  6. Step 6: Final answer
    x = 54,372.91

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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.