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Finding the Fourth Proportional to 38,570.28, 53,217.24 and 22,651.62

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Solution

The fourth proportional to 38,570.28, 53,217.24 and 22,651.62 is: 31,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570.28 : 53,217.24 = 22,651.62 : x
  2. Step 2: Convert to fraction form
    38,570.28/53,217.24 = 22,651.62/x
  3. Step 3: Cross multiply
    38,570.28x = 53,217.24 × 22,651.62
  4. Step 4: Simplify right side
    38,570.28x = 1,205,456,697.93
  5. Step 5: Solve for x
    x = 1,205,456,697.93/38,570.28
  6. Step 6: Final answer
    x = 31,253.51

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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.