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Finding the Fourth Proportional to 32,046.22, 44,238.72 and 21,442.78

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Solution

The fourth proportional to 32,046.22, 44,238.72 and 21,442.78 is: 29,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.22 : 44,238.72 = 21,442.78 : x
  2. Step 2: Convert to fraction form
    32,046.22/44,238.72 = 21,442.78/x
  3. Step 3: Cross multiply
    32,046.22x = 44,238.72 × 21,442.78
  4. Step 4: Simplify right side
    32,046.22x = 948,601,140.44
  5. Step 5: Solve for x
    x = 948,601,140.44/32,046.22
  6. Step 6: Final answer
    x = 29,601.03

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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.