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Finding the Fourth Proportional to 39,972.80, 55,160.49 and 22,965

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Solution

The fourth proportional to 39,972.80, 55,160.49 and 22,965 is: 31,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,972.80 : 55,160.49 = 22,965 : x
  2. Step 2: Convert to fraction form
    39,972.80/55,160.49 = 22,965/x
  3. Step 3: Cross multiply
    39,972.80x = 55,160.49 × 22,965
  4. Step 4: Simplify right side
    39,972.80x = 1,266,760,652.85
  5. Step 5: Solve for x
    x = 1,266,760,652.85/39,972.80
  6. Step 6: Final answer
    x = 31,690.57

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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.