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Finding the Fourth Proportional to 32,195.22, 44,429.24 and 20,274.24

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Solution

The fourth proportional to 32,195.22, 44,429.24 and 20,274.24 is: 27,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.22 : 44,429.24 = 20,274.24 : x
  2. Step 2: Convert to fraction form
    32,195.22/44,429.24 = 20,274.24/x
  3. Step 3: Cross multiply
    32,195.22x = 44,429.24 × 20,274.24
  4. Step 4: Simplify right side
    32,195.22x = 900,769,074.78
  5. Step 5: Solve for x
    x = 900,769,074.78/32,195.22
  6. Step 6: Final answer
    x = 27,978.35

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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.