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Finding the Fourth Proportional to 37,138.72, 51,268.80 and 25,202.56

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Solution

The fourth proportional to 37,138.72, 51,268.80 and 25,202.56 is: 34,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.72 : 51,268.80 = 25,202.56 : x
  2. Step 2: Convert to fraction form
    37,138.72/51,268.80 = 25,202.56/x
  3. Step 3: Cross multiply
    37,138.72x = 51,268.80 × 25,202.56
  4. Step 4: Simplify right side
    37,138.72x = 1,292,105,008.13
  5. Step 5: Solve for x
    x = 1,292,105,008.13/37,138.72
  6. Step 6: Final answer
    x = 34,791.32

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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.