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Finding the Fourth Proportional to 37,027, 51,098.36 and 20,261.08

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Solution

The fourth proportional to 37,027, 51,098.36 and 20,261.08 is: 27,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027 : 51,098.36 = 20,261.08 : x
  2. Step 2: Convert to fraction form
    37,027/51,098.36 = 20,261.08/x
  3. Step 3: Cross multiply
    37,027x = 51,098.36 × 20,261.08
  4. Step 4: Simplify right side
    37,027x = 1,035,307,959.83
  5. Step 5: Solve for x
    x = 1,035,307,959.83/37,027
  6. Step 6: Final answer
    x = 27,960.89

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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.