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Finding the Fourth Proportional to 29,589.60, 40,806 and 22,054.56

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Solution

The fourth proportional to 29,589.60, 40,806 and 22,054.56 is: 30,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589.60 : 40,806 = 22,054.56 : x
  2. Step 2: Convert to fraction form
    29,589.60/40,806 = 22,054.56/x
  3. Step 3: Cross multiply
    29,589.60x = 40,806 × 22,054.56
  4. Step 4: Simplify right side
    29,589.60x = 899,958,375.36
  5. Step 5: Solve for x
    x = 899,958,375.36/29,589.60
  6. Step 6: Final answer
    x = 30,414.69

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Why These Related Problems?

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