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Finding the Fourth Proportional to 57,985.28, 87,002.66 and 24,721

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Solution

The fourth proportional to 57,985.28, 87,002.66 and 24,721 is: 37,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,985.28 : 87,002.66 = 24,721 : x
  2. Step 2: Convert to fraction form
    57,985.28/87,002.66 = 24,721/x
  3. Step 3: Cross multiply
    57,985.28x = 87,002.66 × 24,721
  4. Step 4: Simplify right side
    57,985.28x = 2,150,792,757.86
  5. Step 5: Solve for x
    x = 2,150,792,757.86/57,985.28
  6. Step 6: Final answer
    x = 37,092.05

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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.