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Finding the Fourth Proportional to 65,589.31, 90,512.83 and 37,295

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Solution

The fourth proportional to 65,589.31, 90,512.83 and 37,295 is: 51,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,589.31 : 90,512.83 = 37,295 : x
  2. Step 2: Convert to fraction form
    65,589.31/90,512.83 = 37,295/x
  3. Step 3: Cross multiply
    65,589.31x = 90,512.83 × 37,295
  4. Step 4: Simplify right side
    65,589.31x = 3,375,675,994.85
  5. Step 5: Solve for x
    x = 3,375,675,994.85/65,589.31
  6. Step 6: Final answer
    x = 51,466.86

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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.