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Finding the Fourth Proportional to 38,524.70, 53,065.22 and 27,174.25

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Solution

The fourth proportional to 38,524.70, 53,065.22 and 27,174.25 is: 37,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.70 : 53,065.22 = 27,174.25 : x
  2. Step 2: Convert to fraction form
    38,524.70/53,065.22 = 27,174.25/x
  3. Step 3: Cross multiply
    38,524.70x = 53,065.22 × 27,174.25
  4. Step 4: Simplify right side
    38,524.70x = 1,442,007,485.05
  5. Step 5: Solve for x
    x = 1,442,007,485.05/38,524.70
  6. Step 6: Final answer
    x = 37,430.72

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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.