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Finding the Fourth Proportional to 41,408.98, 57,141.50 and 23,504.36

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Solution

The fourth proportional to 41,408.98, 57,141.50 and 23,504.36 is: 32,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.98 : 57,141.50 = 23,504.36 : x
  2. Step 2: Convert to fraction form
    41,408.98/57,141.50 = 23,504.36/x
  3. Step 3: Cross multiply
    41,408.98x = 57,141.50 × 23,504.36
  4. Step 4: Simplify right side
    41,408.98x = 1,343,074,386.94
  5. Step 5: Solve for x
    x = 1,343,074,386.94/41,408.98
  6. Step 6: Final answer
    x = 32,434.38

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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.