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Finding the Fourth Proportional to 37,505.84, 56,286.16 and 27,671.60

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Solution

The fourth proportional to 37,505.84, 56,286.16 and 27,671.60 is: 41,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.84 : 56,286.16 = 27,671.60 : x
  2. Step 2: Convert to fraction form
    37,505.84/56,286.16 = 27,671.60/x
  3. Step 3: Cross multiply
    37,505.84x = 56,286.16 × 27,671.60
  4. Step 4: Simplify right side
    37,505.84x = 1,557,528,105.06
  5. Step 5: Solve for x
    x = 1,557,528,105.06/37,505.84
  6. Step 6: Final answer
    x = 41,527.62

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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.