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Finding the Fourth Proportional to 32,049.22, 48,032 and 23,194.36

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Solution

The fourth proportional to 32,049.22, 48,032 and 23,194.36 is: 34,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.22 : 48,032 = 23,194.36 : x
  2. Step 2: Convert to fraction form
    32,049.22/48,032 = 23,194.36/x
  3. Step 3: Cross multiply
    32,049.22x = 48,032 × 23,194.36
  4. Step 4: Simplify right side
    32,049.22x = 1,114,071,499.52
  5. Step 5: Solve for x
    x = 1,114,071,499.52/32,049.22
  6. Step 6: Final answer
    x = 34,761.27

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