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Finding the Fourth Proportional to 41,812.50, 57,699.16 and 24,817.48

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Solution

The fourth proportional to 41,812.50, 57,699.16 and 24,817.48 is: 34,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812.50 : 57,699.16 = 24,817.48 : x
  2. Step 2: Convert to fraction form
    41,812.50/57,699.16 = 24,817.48/x
  3. Step 3: Cross multiply
    41,812.50x = 57,699.16 × 24,817.48
  4. Step 4: Simplify right side
    41,812.50x = 1,431,947,749.32
  5. Step 5: Solve for x
    x = 1,431,947,749.32/41,812.50
  6. Step 6: Final answer
    x = 34,246.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.