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Finding the Fourth Proportional to 37,765, 52,079.94 and 27,546.76

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Solution

The fourth proportional to 37,765, 52,079.94 and 27,546.76 is: 37,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765 : 52,079.94 = 27,546.76 : x
  2. Step 2: Convert to fraction form
    37,765/52,079.94 = 27,546.76/x
  3. Step 3: Cross multiply
    37,765x = 52,079.94 × 27,546.76
  4. Step 4: Simplify right side
    37,765x = 1,434,633,607.99
  5. Step 5: Solve for x
    x = 1,434,633,607.99/37,765
  6. Step 6: Final answer
    x = 37,988.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.