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Finding the Fourth Proportional to 110,438.34, 165,424.76 and 50,517.27

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Solution

The fourth proportional to 110,438.34, 165,424.76 and 50,517.27 is: 75,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438.34 : 165,424.76 = 50,517.27 : x
  2. Step 2: Convert to fraction form
    110,438.34/165,424.76 = 50,517.27/x
  3. Step 3: Cross multiply
    110,438.34x = 165,424.76 × 50,517.27
  4. Step 4: Simplify right side
    110,438.34x = 8,356,807,265.61
  5. Step 5: Solve for x
    x = 8,356,807,265.61/110,438.34
  6. Step 6: Final answer
    x = 75,669.44

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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.