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Finding the Fourth Proportional to 57,723.72, 86,594.48 and 24,444

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Solution

The fourth proportional to 57,723.72, 86,594.48 and 24,444 is: 36,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723.72 : 86,594.48 = 24,444 : x
  2. Step 2: Convert to fraction form
    57,723.72/86,594.48 = 24,444/x
  3. Step 3: Cross multiply
    57,723.72x = 86,594.48 × 24,444
  4. Step 4: Simplify right side
    57,723.72x = 2,116,715,469.12
  5. Step 5: Solve for x
    x = 2,116,715,469.12/57,723.72
  6. Step 6: Final answer
    x = 36,669.77

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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.