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Finding the Fourth Proportional to 82,502.44, 123,733.81 and 38,086.54

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Solution

The fourth proportional to 82,502.44, 123,733.81 and 38,086.54 is: 57,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.44 : 123,733.81 = 38,086.54 : x
  2. Step 2: Convert to fraction form
    82,502.44/123,733.81 = 38,086.54/x
  3. Step 3: Cross multiply
    82,502.44x = 123,733.81 × 38,086.54
  4. Step 4: Simplify right side
    82,502.44x = 4,712,592,703.92
  5. Step 5: Solve for x
    x = 4,712,592,703.92/82,502.44
  6. Step 6: Final answer
    x = 57,120.65

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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.