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Finding the Fourth Proportional to 26,874.48, 37,073.88 and 23,142

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Solution

The fourth proportional to 26,874.48, 37,073.88 and 23,142 is: 31,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.48 : 37,073.88 = 23,142 : x
  2. Step 2: Convert to fraction form
    26,874.48/37,073.88 = 23,142/x
  3. Step 3: Cross multiply
    26,874.48x = 37,073.88 × 23,142
  4. Step 4: Simplify right side
    26,874.48x = 857,963,730.96
  5. Step 5: Solve for x
    x = 857,963,730.96/26,874.48
  6. Step 6: Final answer
    x = 31,924.85

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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.