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Finding the Fourth Proportional to 31,267.38, 46,890 and 11,540.64

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Solution

The fourth proportional to 31,267.38, 46,890 and 11,540.64 is: 17,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.38 : 46,890 = 11,540.64 : x
  2. Step 2: Convert to fraction form
    31,267.38/46,890 = 11,540.64/x
  3. Step 3: Cross multiply
    31,267.38x = 46,890 × 11,540.64
  4. Step 4: Simplify right side
    31,267.38x = 541,140,609.60
  5. Step 5: Solve for x
    x = 541,140,609.60/31,267.38
  6. Step 6: Final answer
    x = 17,306.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.