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Finding the Fourth Proportional to 57,748.62, 86,425.74 and 48,399.20

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Solution

The fourth proportional to 57,748.62, 86,425.74 and 48,399.20 is: 72,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748.62 : 86,425.74 = 48,399.20 : x
  2. Step 2: Convert to fraction form
    57,748.62/86,425.74 = 48,399.20/x
  3. Step 3: Cross multiply
    57,748.62x = 86,425.74 × 48,399.20
  4. Step 4: Simplify right side
    57,748.62x = 4,182,936,243.28
  5. Step 5: Solve for x
    x = 4,182,936,243.28/57,748.62
  6. Step 6: Final answer
    x = 72,433.53

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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.