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Finding the Fourth Proportional to 38,537.38, 57,806.09 and 10,835.38

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Solution

The fourth proportional to 38,537.38, 57,806.09 and 10,835.38 is: 16,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.38 : 57,806.09 = 10,835.38 : x
  2. Step 2: Convert to fraction form
    38,537.38/57,806.09 = 10,835.38/x
  3. Step 3: Cross multiply
    38,537.38x = 57,806.09 × 10,835.38
  4. Step 4: Simplify right side
    38,537.38x = 626,350,608.26
  5. Step 5: Solve for x
    x = 626,350,608.26/38,537.38
  6. Step 6: Final answer
    x = 16,253.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.