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Finding the Fourth Proportional to 38,537.25, 57,805.89 and 10,835.25

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Solution

The fourth proportional to 38,537.25, 57,805.89 and 10,835.25 is: 16,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.25 : 57,805.89 = 10,835.25 : x
  2. Step 2: Convert to fraction form
    38,537.25/57,805.89 = 10,835.25/x
  3. Step 3: Cross multiply
    38,537.25x = 57,805.89 × 10,835.25
  4. Step 4: Simplify right side
    38,537.25x = 626,341,269.62
  5. Step 5: Solve for x
    x = 626,341,269.62/38,537.25
  6. Step 6: Final answer
    x = 16,252.88

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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.