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Finding the Fourth Proportional to 34,356.96, 47,414.16 and 26,892

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Solution

The fourth proportional to 34,356.96, 47,414.16 and 26,892 is: 37,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.96 : 47,414.16 = 26,892 : x
  2. Step 2: Convert to fraction form
    34,356.96/47,414.16 = 26,892/x
  3. Step 3: Cross multiply
    34,356.96x = 47,414.16 × 26,892
  4. Step 4: Simplify right side
    34,356.96x = 1,275,061,590.72
  5. Step 5: Solve for x
    x = 1,275,061,590.72/34,356.96
  6. Step 6: Final answer
    x = 37,112.18

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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.