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Finding the Fourth Proportional to 38,464.60, 57,605.10 and 18,679.60

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Solution

The fourth proportional to 38,464.60, 57,605.10 and 18,679.60 is: 27,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.60 : 57,605.10 = 18,679.60 : x
  2. Step 2: Convert to fraction form
    38,464.60/57,605.10 = 18,679.60/x
  3. Step 3: Cross multiply
    38,464.60x = 57,605.10 × 18,679.60
  4. Step 4: Simplify right side
    38,464.60x = 1,076,040,225.96
  5. Step 5: Solve for x
    x = 1,076,040,225.96/38,464.60
  6. Step 6: Final answer
    x = 27,974.82

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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.