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Finding the Fourth Proportional to 26,872.48, 37,071.12 and 23,140

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Solution

The fourth proportional to 26,872.48, 37,071.12 and 23,140 is: 31,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872.48 : 37,071.12 = 23,140 : x
  2. Step 2: Convert to fraction form
    26,872.48/37,071.12 = 23,140/x
  3. Step 3: Cross multiply
    26,872.48x = 37,071.12 × 23,140
  4. Step 4: Simplify right side
    26,872.48x = 857,825,716.80
  5. Step 5: Solve for x
    x = 857,825,716.80/26,872.48
  6. Step 6: Final answer
    x = 31,922.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.