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Finding the Fourth Proportional to 41,433, 62,149.50 and 13,731

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Solution

The fourth proportional to 41,433, 62,149.50 and 13,731 is: 20,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,433 : 62,149.50 = 13,731 : x
  2. Step 2: Convert to fraction form
    41,433/62,149.50 = 13,731/x
  3. Step 3: Cross multiply
    41,433x = 62,149.50 × 13,731
  4. Step 4: Simplify right side
    41,433x = 853,374,784.50
  5. Step 5: Solve for x
    x = 853,374,784.50/41,433
  6. Step 6: Final answer
    x = 20,596.50

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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.