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Finding the Fourth Proportional to 37,027.80, 51,098.16 and 20,032

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Solution

The fourth proportional to 37,027.80, 51,098.16 and 20,032 is: 27,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.80 : 51,098.16 = 20,032 : x
  2. Step 2: Convert to fraction form
    37,027.80/51,098.16 = 20,032/x
  3. Step 3: Cross multiply
    37,027.80x = 51,098.16 × 20,032
  4. Step 4: Simplify right side
    37,027.80x = 1,023,598,341.12
  5. Step 5: Solve for x
    x = 1,023,598,341.12/37,027.80
  6. Step 6: Final answer
    x = 27,644.05

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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.