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Finding the Fourth Proportional to 31,027.65, 46,540.49 and 9,967.61

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Solution

The fourth proportional to 31,027.65, 46,540.49 and 9,967.61 is: 14,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.65 : 46,540.49 = 9,967.61 : x
  2. Step 2: Convert to fraction form
    31,027.65/46,540.49 = 9,967.61/x
  3. Step 3: Cross multiply
    31,027.65x = 46,540.49 × 9,967.61
  4. Step 4: Simplify right side
    31,027.65x = 463,897,170.99
  5. Step 5: Solve for x
    x = 463,897,170.99/31,027.65
  6. Step 6: Final answer
    x = 14,951.09

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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.