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Finding the Fourth Proportional to 82,224.38, 113,469.54 and 44,498.54

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Solution

The fourth proportional to 82,224.38, 113,469.54 and 44,498.54 is: 61,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.38 : 113,469.54 = 44,498.54 : x
  2. Step 2: Convert to fraction form
    82,224.38/113,469.54 = 44,498.54/x
  3. Step 3: Cross multiply
    82,224.38x = 113,469.54 × 44,498.54
  4. Step 4: Simplify right side
    82,224.38x = 5,049,228,864.47
  5. Step 5: Solve for x
    x = 5,049,228,864.47/82,224.38
  6. Step 6: Final answer
    x = 61,407.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.