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Finding the Fourth Proportional to 53,856.56, 80,788.12 and 22,694.32

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Solution

The fourth proportional to 53,856.56, 80,788.12 and 22,694.32 is: 34,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.56 : 80,788.12 = 22,694.32 : x
  2. Step 2: Convert to fraction form
    53,856.56/80,788.12 = 22,694.32/x
  3. Step 3: Cross multiply
    53,856.56x = 80,788.12 × 22,694.32
  4. Step 4: Simplify right side
    53,856.56x = 1,833,431,447.48
  5. Step 5: Solve for x
    x = 1,833,431,447.48/53,856.56
  6. Step 6: Final answer
    x = 34,042.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.