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Finding the Fourth Proportional to 37,908.96, 52,286.16 and 27,834.24

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Solution

The fourth proportional to 37,908.96, 52,286.16 and 27,834.24 is: 38,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908.96 : 52,286.16 = 27,834.24 : x
  2. Step 2: Convert to fraction form
    37,908.96/52,286.16 = 27,834.24/x
  3. Step 3: Cross multiply
    37,908.96x = 52,286.16 × 27,834.24
  4. Step 4: Simplify right side
    37,908.96x = 1,455,345,526.12
  5. Step 5: Solve for x
    x = 1,455,345,526.12/37,908.96
  6. Step 6: Final answer
    x = 38,390.54

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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.