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Finding the Fourth Proportional to 57,441.84, 86,172.01 and 24,171.42

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Solution

The fourth proportional to 57,441.84, 86,172.01 and 24,171.42 is: 36,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,441.84 : 86,172.01 = 24,171.42 : x
  2. Step 2: Convert to fraction form
    57,441.84/86,172.01 = 24,171.42/x
  3. Step 3: Cross multiply
    57,441.84x = 86,172.01 × 24,171.42
  4. Step 4: Simplify right side
    57,441.84x = 2,082,899,854.50
  5. Step 5: Solve for x
    x = 2,082,899,854.50/57,441.84
  6. Step 6: Final answer
    x = 36,261.02

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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.