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Finding the Fourth Proportional to 38,777.28, 53,517.12 and 22,013.44

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Solution

The fourth proportional to 38,777.28, 53,517.12 and 22,013.44 is: 30,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777.28 : 53,517.12 = 22,013.44 : x
  2. Step 2: Convert to fraction form
    38,777.28/53,517.12 = 22,013.44/x
  3. Step 3: Cross multiply
    38,777.28x = 53,517.12 × 22,013.44
  4. Step 4: Simplify right side
    38,777.28x = 1,178,095,910.09
  5. Step 5: Solve for x
    x = 1,178,095,910.09/38,777.28
  6. Step 6: Final answer
    x = 30,381.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.