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Finding the Fourth Proportional to 38,243.42, 52,754.67 and 35,537.24

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Solution

The fourth proportional to 38,243.42, 52,754.67 and 35,537.24 is: 49,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.42 : 52,754.67 = 35,537.24 : x
  2. Step 2: Convert to fraction form
    38,243.42/52,754.67 = 35,537.24/x
  3. Step 3: Cross multiply
    38,243.42x = 52,754.67 × 35,537.24
  4. Step 4: Simplify right side
    38,243.42x = 1,874,755,368.91
  5. Step 5: Solve for x
    x = 1,874,755,368.91/38,243.42
  6. Step 6: Final answer
    x = 49,021.65

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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.