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Finding the Fourth Proportional to 57,305.75, 85,992.08 and 24,023.25

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Solution

The fourth proportional to 57,305.75, 85,992.08 and 24,023.25 is: 36,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305.75 : 85,992.08 = 24,023.25 : x
  2. Step 2: Convert to fraction form
    57,305.75/85,992.08 = 24,023.25/x
  3. Step 3: Cross multiply
    57,305.75x = 85,992.08 × 24,023.25
  4. Step 4: Simplify right side
    57,305.75x = 2,065,809,115.74
  5. Step 5: Solve for x
    x = 2,065,809,115.74/57,305.75
  6. Step 6: Final answer
    x = 36,048.90

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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.