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Finding the Fourth Proportional to 37,767, 52,082.70 and 27,548.76

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Solution

The fourth proportional to 37,767, 52,082.70 and 27,548.76 is: 37,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767 : 52,082.70 = 27,548.76 : x
  2. Step 2: Convert to fraction form
    37,767/52,082.70 = 27,548.76/x
  3. Step 3: Cross multiply
    37,767x = 52,082.70 × 27,548.76
  4. Step 4: Simplify right side
    37,767x = 1,434,813,802.45
  5. Step 5: Solve for x
    x = 1,434,813,802.45/37,767
  6. Step 6: Final answer
    x = 37,991.20

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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.