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Finding the Fourth Proportional to 31,255, 46,899.30 and 18,133.24

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Solution

The fourth proportional to 31,255, 46,899.30 and 18,133.24 is: 27,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255 : 46,899.30 = 18,133.24 : x
  2. Step 2: Convert to fraction form
    31,255/46,899.30 = 18,133.24/x
  3. Step 3: Cross multiply
    31,255x = 46,899.30 × 18,133.24
  4. Step 4: Simplify right side
    31,255x = 850,436,262.73
  5. Step 5: Solve for x
    x = 850,436,262.73/31,255
  6. Step 6: Final answer
    x = 27,209.61

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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.