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Finding the Fourth Proportional to 82,165.38, 113,388.30 and 44,439.63

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Solution

The fourth proportional to 82,165.38, 113,388.30 and 44,439.63 is: 61,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.38 : 113,388.30 = 44,439.63 : x
  2. Step 2: Convert to fraction form
    82,165.38/113,388.30 = 44,439.63/x
  3. Step 3: Cross multiply
    82,165.38x = 113,388.30 × 44,439.63
  4. Step 4: Simplify right side
    82,165.38x = 5,038,934,098.33
  5. Step 5: Solve for x
    x = 5,038,934,098.33/82,165.38
  6. Step 6: Final answer
    x = 61,326.73

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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.