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Finding the Fourth Proportional to 38,076.46, 57,121.98 and 11,776.56

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Solution

The fourth proportional to 38,076.46, 57,121.98 and 11,776.56 is: 17,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.46 : 57,121.98 = 11,776.56 : x
  2. Step 2: Convert to fraction form
    38,076.46/57,121.98 = 11,776.56/x
  3. Step 3: Cross multiply
    38,076.46x = 57,121.98 × 11,776.56
  4. Step 4: Simplify right side
    38,076.46x = 672,700,424.79
  5. Step 5: Solve for x
    x = 672,700,424.79/38,076.46
  6. Step 6: Final answer
    x = 17,667.09

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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.