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Finding the Fourth Proportional to 57,720.72, 86,589.98 and 24,441

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Solution

The fourth proportional to 57,720.72, 86,589.98 and 24,441 is: 36,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,720.72 : 86,589.98 = 24,441 : x
  2. Step 2: Convert to fraction form
    57,720.72/86,589.98 = 24,441/x
  3. Step 3: Cross multiply
    57,720.72x = 86,589.98 × 24,441
  4. Step 4: Simplify right side
    57,720.72x = 2,116,345,701.18
  5. Step 5: Solve for x
    x = 2,116,345,701.18/57,720.72
  6. Step 6: Final answer
    x = 36,665.27

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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.