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Finding the Fourth Proportional to 36,580.52, 54,874.02 and 10,285.49

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Solution

The fourth proportional to 36,580.52, 54,874.02 and 10,285.49 is: 15,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580.52 : 54,874.02 = 10,285.49 : x
  2. Step 2: Convert to fraction form
    36,580.52/54,874.02 = 10,285.49/x
  3. Step 3: Cross multiply
    36,580.52x = 54,874.02 × 10,285.49
  4. Step 4: Simplify right side
    36,580.52x = 564,406,183.97
  5. Step 5: Solve for x
    x = 564,406,183.97/36,580.52
  6. Step 6: Final answer
    x = 15,429.15

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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.