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Finding the Fourth Proportional to 37,900.67, 52,286.78 and 27,811.58

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Solution

The fourth proportional to 37,900.67, 52,286.78 and 27,811.58 is: 38,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900.67 : 52,286.78 = 27,811.58 : x
  2. Step 2: Convert to fraction form
    37,900.67/52,286.78 = 27,811.58/x
  3. Step 3: Cross multiply
    37,900.67x = 52,286.78 × 27,811.58
  4. Step 4: Simplify right side
    37,900.67x = 1,454,177,773.01
  5. Step 5: Solve for x
    x = 1,454,177,773.01/37,900.67
  6. Step 6: Final answer
    x = 38,368.13

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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.