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Finding the Fourth Proportional to 38,229.64, 52,720.74 and 31,864.12

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Solution

The fourth proportional to 38,229.64, 52,720.74 and 31,864.12 is: 43,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229.64 : 52,720.74 = 31,864.12 : x
  2. Step 2: Convert to fraction form
    38,229.64/52,720.74 = 31,864.12/x
  3. Step 3: Cross multiply
    38,229.64x = 52,720.74 × 31,864.12
  4. Step 4: Simplify right side
    38,229.64x = 1,679,899,854.05
  5. Step 5: Solve for x
    x = 1,679,899,854.05/38,229.64
  6. Step 6: Final answer
    x = 43,942.34

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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.