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Finding the Fourth Proportional to 41,667, 62,500.50 and 12,483

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Solution

The fourth proportional to 41,667, 62,500.50 and 12,483 is: 18,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,667 : 62,500.50 = 12,483 : x
  2. Step 2: Convert to fraction form
    41,667/62,500.50 = 12,483/x
  3. Step 3: Cross multiply
    41,667x = 62,500.50 × 12,483
  4. Step 4: Simplify right side
    41,667x = 780,193,741.50
  5. Step 5: Solve for x
    x = 780,193,741.50/41,667
  6. Step 6: Final answer
    x = 18,724.50

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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.