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Finding the Fourth Proportional to 41,408.13, 57,085.80 and 27,958.08

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Solution

The fourth proportional to 41,408.13, 57,085.80 and 27,958.08 is: 38,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.13 : 57,085.80 = 27,958.08 : x
  2. Step 2: Convert to fraction form
    41,408.13/57,085.80 = 27,958.08/x
  3. Step 3: Cross multiply
    41,408.13x = 57,085.80 × 27,958.08
  4. Step 4: Simplify right side
    41,408.13x = 1,596,009,363.26
  5. Step 5: Solve for x
    x = 1,596,009,363.26/41,408.13
  6. Step 6: Final answer
    x = 38,543.38

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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.