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Finding the Fourth Proportional to 30,761.28, 42,444 and 19,585.44

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Solution

The fourth proportional to 30,761.28, 42,444 and 19,585.44 is: 27,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.28 : 42,444 = 19,585.44 : x
  2. Step 2: Convert to fraction form
    30,761.28/42,444 = 19,585.44/x
  3. Step 3: Cross multiply
    30,761.28x = 42,444 × 19,585.44
  4. Step 4: Simplify right side
    30,761.28x = 831,284,415.36
  5. Step 5: Solve for x
    x = 831,284,415.36/30,761.28
  6. Step 6: Final answer
    x = 27,023.73

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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.