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Finding the Fourth Proportional to 82,963.14, 124,469.31 and 33,014.76

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Solution

The fourth proportional to 82,963.14, 124,469.31 and 33,014.76 is: 49,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.14 : 124,469.31 = 33,014.76 : x
  2. Step 2: Convert to fraction form
    82,963.14/124,469.31 = 33,014.76/x
  3. Step 3: Cross multiply
    82,963.14x = 124,469.31 × 33,014.76
  4. Step 4: Simplify right side
    82,963.14x = 4,109,324,397.02
  5. Step 5: Solve for x
    x = 4,109,324,397.02/82,963.14
  6. Step 6: Final answer
    x = 49,531.93

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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.