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Finding the Fourth Proportional to 57,665.50, 86,498.34 and 16,112.50

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Solution

The fourth proportional to 57,665.50, 86,498.34 and 16,112.50 is: 24,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665.50 : 86,498.34 = 16,112.50 : x
  2. Step 2: Convert to fraction form
    57,665.50/86,498.34 = 16,112.50/x
  3. Step 3: Cross multiply
    57,665.50x = 86,498.34 × 16,112.50
  4. Step 4: Simplify right side
    57,665.50x = 1,393,704,503.25
  5. Step 5: Solve for x
    x = 1,393,704,503.25/57,665.50
  6. Step 6: Final answer
    x = 24,168.78

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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.