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Finding the Fourth Proportional to 37,042.43, 51,118.16 and 20,046.30

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Solution

The fourth proportional to 37,042.43, 51,118.16 and 20,046.30 is: 27,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042.43 : 51,118.16 = 20,046.30 : x
  2. Step 2: Convert to fraction form
    37,042.43/51,118.16 = 20,046.30/x
  3. Step 3: Cross multiply
    37,042.43x = 51,118.16 × 20,046.30
  4. Step 4: Simplify right side
    37,042.43x = 1,024,729,870.58
  5. Step 5: Solve for x
    x = 1,024,729,870.58/37,042.43
  6. Step 6: Final answer
    x = 27,663.68

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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.