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Finding the Fourth Proportional to 41,832.04, 57,642.38 and 38,878.78

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Solution

The fourth proportional to 41,832.04, 57,642.38 and 38,878.78 is: 53,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832.04 : 57,642.38 = 38,878.78 : x
  2. Step 2: Convert to fraction form
    41,832.04/57,642.38 = 38,878.78/x
  3. Step 3: Cross multiply
    41,832.04x = 57,642.38 × 38,878.78
  4. Step 4: Simplify right side
    41,832.04x = 2,241,065,363.79
  5. Step 5: Solve for x
    x = 2,241,065,363.79/41,832.04
  6. Step 6: Final answer
    x = 53,572.94

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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.