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Finding the Fourth Proportional to 39,952.54, 55,133.49 and 22,047.31

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Solution

The fourth proportional to 39,952.54, 55,133.49 and 22,047.31 is: 30,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,952.54 : 55,133.49 = 22,047.31 : x
  2. Step 2: Convert to fraction form
    39,952.54/55,133.49 = 22,047.31/x
  3. Step 3: Cross multiply
    39,952.54x = 55,133.49 × 22,047.31
  4. Step 4: Simplify right side
    39,952.54x = 1,215,545,145.41
  5. Step 5: Solve for x
    x = 1,215,545,145.41/39,952.54
  6. Step 6: Final answer
    x = 30,424.73

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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.