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Finding the Fourth Proportional to 57,757.40, 86,644.78 and 24,477.64

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Solution

The fourth proportional to 57,757.40, 86,644.78 and 24,477.64 is: 36,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,757.40 : 86,644.78 = 24,477.64 : x
  2. Step 2: Convert to fraction form
    57,757.40/86,644.78 = 24,477.64/x
  3. Step 3: Cross multiply
    57,757.40x = 86,644.78 × 24,477.64
  4. Step 4: Simplify right side
    57,757.40x = 2,120,859,732.72
  5. Step 5: Solve for x
    x = 2,120,859,732.72/57,757.40
  6. Step 6: Final answer
    x = 36,720.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.