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Finding the Fourth Proportional to 38,288.27, 52,830.11 and 22,369.64

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Solution

The fourth proportional to 38,288.27, 52,830.11 and 22,369.64 is: 30,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.27 : 52,830.11 = 22,369.64 : x
  2. Step 2: Convert to fraction form
    38,288.27/52,830.11 = 22,369.64/x
  3. Step 3: Cross multiply
    38,288.27x = 52,830.11 × 22,369.64
  4. Step 4: Simplify right side
    38,288.27x = 1,181,790,165.86
  5. Step 5: Solve for x
    x = 1,181,790,165.86/38,288.27
  6. Step 6: Final answer
    x = 30,865.60

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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.