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Finding the Fourth Proportional to 57,612.50, 86,418.76 and 13,836.50

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Solution

The fourth proportional to 57,612.50, 86,418.76 and 13,836.50 is: 20,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,612.50 : 86,418.76 = 13,836.50 : x
  2. Step 2: Convert to fraction form
    57,612.50/86,418.76 = 13,836.50/x
  3. Step 3: Cross multiply
    57,612.50x = 86,418.76 × 13,836.50
  4. Step 4: Simplify right side
    57,612.50x = 1,195,733,172.74
  5. Step 5: Solve for x
    x = 1,195,733,172.74/57,612.50
  6. Step 6: Final answer
    x = 20,754.75

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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.