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Finding the Fourth Proportional to 41,580.78, 62,370.27 and 13,500.78

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Solution

The fourth proportional to 41,580.78, 62,370.27 and 13,500.78 is: 20,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580.78 : 62,370.27 = 13,500.78 : x
  2. Step 2: Convert to fraction form
    41,580.78/62,370.27 = 13,500.78/x
  3. Step 3: Cross multiply
    41,580.78x = 62,370.27 × 13,500.78
  4. Step 4: Simplify right side
    41,580.78x = 842,047,293.81
  5. Step 5: Solve for x
    x = 842,047,293.81/41,580.78
  6. Step 6: Final answer
    x = 20,250.88

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