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Finding the Fourth Proportional to 32,142.88, 44,362.32 and 19,565.44

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Solution

The fourth proportional to 32,142.88, 44,362.32 and 19,565.44 is: 27,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.88 : 44,362.32 = 19,565.44 : x
  2. Step 2: Convert to fraction form
    32,142.88/44,362.32 = 19,565.44/x
  3. Step 3: Cross multiply
    32,142.88x = 44,362.32 × 19,565.44
  4. Step 4: Simplify right side
    32,142.88x = 867,968,310.22
  5. Step 5: Solve for x
    x = 867,968,310.22/32,142.88
  6. Step 6: Final answer
    x = 27,003.44

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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.