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Finding the Fourth Proportional to 41,587.26, 57,396.90 and 26,486.42

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Solution

The fourth proportional to 41,587.26, 57,396.90 and 26,486.42 is: 36,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,587.26 : 57,396.90 = 26,486.42 : x
  2. Step 2: Convert to fraction form
    41,587.26/57,396.90 = 26,486.42/x
  3. Step 3: Cross multiply
    41,587.26x = 57,396.90 × 26,486.42
  4. Step 4: Simplify right side
    41,587.26x = 1,520,238,400.10
  5. Step 5: Solve for x
    x = 1,520,238,400.10/41,587.26
  6. Step 6: Final answer
    x = 36,555.39

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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.