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Finding the Fourth Proportional to 57,002, 85,509.84 and 23,744.60

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Solution

The fourth proportional to 57,002, 85,509.84 and 23,744.60 is: 35,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002 : 85,509.84 = 23,744.60 : x
  2. Step 2: Convert to fraction form
    57,002/85,509.84 = 23,744.60/x
  3. Step 3: Cross multiply
    57,002x = 85,509.84 × 23,744.60
  4. Step 4: Simplify right side
    57,002x = 2,030,396,946.86
  5. Step 5: Solve for x
    x = 2,030,396,946.86/57,002
  6. Step 6: Final answer
    x = 35,619.75

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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.