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Finding the Fourth Proportional to 57,641.56, 86,489.07 and 24,369.39

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Solution

The fourth proportional to 57,641.56, 86,489.07 and 24,369.39 is: 36,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.56 : 86,489.07 = 24,369.39 : x
  2. Step 2: Convert to fraction form
    57,641.56/86,489.07 = 24,369.39/x
  3. Step 3: Cross multiply
    57,641.56x = 86,489.07 × 24,369.39
  4. Step 4: Simplify right side
    57,641.56x = 2,107,685,786.18
  5. Step 5: Solve for x
    x = 2,107,685,786.18/57,641.56
  6. Step 6: Final answer
    x = 36,565.39

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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.