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Finding the Fourth Proportional to 31,107.54, 42,932.12 and 19,639.12

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Solution

The fourth proportional to 31,107.54, 42,932.12 and 19,639.12 is: 27,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.54 : 42,932.12 = 19,639.12 : x
  2. Step 2: Convert to fraction form
    31,107.54/42,932.12 = 19,639.12/x
  3. Step 3: Cross multiply
    31,107.54x = 42,932.12 × 19,639.12
  4. Step 4: Simplify right side
    31,107.54x = 843,148,851.01
  5. Step 5: Solve for x
    x = 843,148,851.01/31,107.54
  6. Step 6: Final answer
    x = 27,104.32

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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.