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Finding the Fourth Proportional to 32,757.57, 49,155.41 and 13,780.82

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Solution

The fourth proportional to 32,757.57, 49,155.41 and 13,780.82 is: 20,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,757.57 : 49,155.41 = 13,780.82 : x
  2. Step 2: Convert to fraction form
    32,757.57/49,155.41 = 13,780.82/x
  3. Step 3: Cross multiply
    32,757.57x = 49,155.41 × 13,780.82
  4. Step 4: Simplify right side
    32,757.57x = 677,401,542.56
  5. Step 5: Solve for x
    x = 677,401,542.56/32,757.57
  6. Step 6: Final answer
    x = 20,679.24

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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.