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Finding the Fourth Proportional to 37,173.82, 51,299.02 and 20,178.08

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Solution

The fourth proportional to 37,173.82, 51,299.02 and 20,178.08 is: 27,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,173.82 : 51,299.02 = 20,178.08 : x
  2. Step 2: Convert to fraction form
    37,173.82/51,299.02 = 20,178.08/x
  3. Step 3: Cross multiply
    37,173.82x = 51,299.02 × 20,178.08
  4. Step 4: Simplify right side
    37,173.82x = 1,035,115,729.48
  5. Step 5: Solve for x
    x = 1,035,115,729.48/37,173.82
  6. Step 6: Final answer
    x = 27,845.29

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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.