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Finding the Fourth Proportional to 37,809.72, 52,194.78 and 27,738.72

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Solution

The fourth proportional to 37,809.72, 52,194.78 and 27,738.72 is: 38,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.72 : 52,194.78 = 27,738.72 : x
  2. Step 2: Convert to fraction form
    37,809.72/52,194.78 = 27,738.72/x
  3. Step 3: Cross multiply
    37,809.72x = 52,194.78 × 27,738.72
  4. Step 4: Simplify right side
    37,809.72x = 1,447,816,387.88
  5. Step 5: Solve for x
    x = 1,447,816,387.88/37,809.72
  6. Step 6: Final answer
    x = 38,292.17

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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.