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Finding the Fourth Proportional to 38,571.28, 53,218.62 and 22,652.62

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Solution

The fourth proportional to 38,571.28, 53,218.62 and 22,652.62 is: 31,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.28 : 53,218.62 = 22,652.62 : x
  2. Step 2: Convert to fraction form
    38,571.28/53,218.62 = 22,652.62/x
  3. Step 3: Cross multiply
    38,571.28x = 53,218.62 × 22,652.62
  4. Step 4: Simplify right side
    38,571.28x = 1,205,541,175.78
  5. Step 5: Solve for x
    x = 1,205,541,175.78/38,571.28
  6. Step 6: Final answer
    x = 31,254.89

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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.