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Finding the Fourth Proportional to 41,402.58, 62,129.31 and 16,438.26

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Solution

The fourth proportional to 41,402.58, 62,129.31 and 16,438.26 is: 24,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.58 : 62,129.31 = 16,438.26 : x
  2. Step 2: Convert to fraction form
    41,402.58/62,129.31 = 16,438.26/x
  3. Step 3: Cross multiply
    41,402.58x = 62,129.31 × 16,438.26
  4. Step 4: Simplify right side
    41,402.58x = 1,021,297,751.40
  5. Step 5: Solve for x
    x = 1,021,297,751.40/41,402.58
  6. Step 6: Final answer
    x = 24,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.