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Finding the Fourth Proportional to 37,175.78, 51,302.60 and 20,180.02

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Solution

The fourth proportional to 37,175.78, 51,302.60 and 20,180.02 is: 27,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175.78 : 51,302.60 = 20,180.02 : x
  2. Step 2: Convert to fraction form
    37,175.78/51,302.60 = 20,180.02/x
  3. Step 3: Cross multiply
    37,175.78x = 51,302.60 × 20,180.02
  4. Step 4: Simplify right side
    37,175.78x = 1,035,287,494.05
  5. Step 5: Solve for x
    x = 1,035,287,494.05/37,175.78
  6. Step 6: Final answer
    x = 27,848.44

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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.