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Finding the Fourth Proportional to 38,549.38, 53,183.13 and 24,203.11

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Solution

The fourth proportional to 38,549.38, 53,183.13 and 24,203.11 is: 33,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.38 : 53,183.13 = 24,203.11 : x
  2. Step 2: Convert to fraction form
    38,549.38/53,183.13 = 24,203.11/x
  3. Step 3: Cross multiply
    38,549.38x = 53,183.13 × 24,203.11
  4. Step 4: Simplify right side
    38,549.38x = 1,287,197,145.53
  5. Step 5: Solve for x
    x = 1,287,197,145.53/38,549.38
  6. Step 6: Final answer
    x = 33,390.87

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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.