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Finding the Fourth Proportional to 57,441, 86,167.68 and 24,164.45

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Solution

The fourth proportional to 57,441, 86,167.68 and 24,164.45 is: 36,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441 : 86,167.68 = 24,164.45 : x
  2. Step 2: Convert to fraction form
    57,441/86,167.68 = 24,164.45/x
  3. Step 3: Cross multiply
    57,441x = 86,167.68 × 24,164.45
  4. Step 4: Simplify right side
    57,441x = 2,082,194,594.98
  5. Step 5: Solve for x
    x = 2,082,194,594.98/57,441
  6. Step 6: Final answer
    x = 36,249.27

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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.