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Finding the Fourth Proportional to 57,523.68, 86,170.64 and 45,697.47

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Solution

The fourth proportional to 57,523.68, 86,170.64 and 45,697.47 is: 68,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523.68 : 86,170.64 = 45,697.47 : x
  2. Step 2: Convert to fraction form
    57,523.68/86,170.64 = 45,697.47/x
  3. Step 3: Cross multiply
    57,523.68x = 86,170.64 × 45,697.47
  4. Step 4: Simplify right side
    57,523.68x = 3,937,780,007.79
  5. Step 5: Solve for x
    x = 3,937,780,007.79/57,523.68
  6. Step 6: Final answer
    x = 68,454.94

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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.