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Finding the Fourth Proportional to 38,424.30, 53,017.52 and 23,324.91

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Solution

The fourth proportional to 38,424.30, 53,017.52 and 23,324.91 is: 32,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.30 : 53,017.52 = 23,324.91 : x
  2. Step 2: Convert to fraction form
    38,424.30/53,017.52 = 23,324.91/x
  3. Step 3: Cross multiply
    38,424.30x = 53,017.52 × 23,324.91
  4. Step 4: Simplify right side
    38,424.30x = 1,236,628,765.80
  5. Step 5: Solve for x
    x = 1,236,628,765.80/38,424.30
  6. Step 6: Final answer
    x = 32,183.51

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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.