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Finding the Fourth Proportional to 38,057.75, 52,502.17 and 24,633.31

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Solution

The fourth proportional to 38,057.75, 52,502.17 and 24,633.31 is: 33,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.75 : 52,502.17 = 24,633.31 : x
  2. Step 2: Convert to fraction form
    38,057.75/52,502.17 = 24,633.31/x
  3. Step 3: Cross multiply
    38,057.75x = 52,502.17 × 24,633.31
  4. Step 4: Simplify right side
    38,057.75x = 1,293,302,237.37
  5. Step 5: Solve for x
    x = 1,293,302,237.37/38,057.75
  6. Step 6: Final answer
    x = 33,982.63

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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.