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Finding the Fourth Proportional to 39,282.24, 54,203.40 and 22,512

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Solution

The fourth proportional to 39,282.24, 54,203.40 and 22,512 is: 31,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,282.24 : 54,203.40 = 22,512 : x
  2. Step 2: Convert to fraction form
    39,282.24/54,203.40 = 22,512/x
  3. Step 3: Cross multiply
    39,282.24x = 54,203.40 × 22,512
  4. Step 4: Simplify right side
    39,282.24x = 1,220,226,940.80
  5. Step 5: Solve for x
    x = 1,220,226,940.80/39,282.24
  6. Step 6: Final answer
    x = 31,063.07

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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.