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Finding the Fourth Proportional to 38,571.65, 53,229.12 and 22,448.54

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Solution

The fourth proportional to 38,571.65, 53,229.12 and 22,448.54 is: 30,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.65 : 53,229.12 = 22,448.54 : x
  2. Step 2: Convert to fraction form
    38,571.65/53,229.12 = 22,448.54/x
  3. Step 3: Cross multiply
    38,571.65x = 53,229.12 × 22,448.54
  4. Step 4: Simplify right side
    38,571.65x = 1,194,916,029.48
  5. Step 5: Solve for x
    x = 1,194,916,029.48/38,571.65
  6. Step 6: Final answer
    x = 30,979.13

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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.