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Finding the Fourth Proportional to 30,896.52, 42,614.55 and 20,282.28

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Solution

The fourth proportional to 30,896.52, 42,614.55 and 20,282.28 is: 27,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.52 : 42,614.55 = 20,282.28 : x
  2. Step 2: Convert to fraction form
    30,896.52/42,614.55 = 20,282.28/x
  3. Step 3: Cross multiply
    30,896.52x = 42,614.55 × 20,282.28
  4. Step 4: Simplify right side
    30,896.52x = 864,320,235.17
  5. Step 5: Solve for x
    x = 864,320,235.17/30,896.52
  6. Step 6: Final answer
    x = 27,974.68

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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.