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Finding the Fourth Proportional to 65,817.31, 98,601.63 and 32,498.50

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Solution

The fourth proportional to 65,817.31, 98,601.63 and 32,498.50 is: 48,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.31 : 98,601.63 = 32,498.50 : x
  2. Step 2: Convert to fraction form
    65,817.31/98,601.63 = 32,498.50/x
  3. Step 3: Cross multiply
    65,817.31x = 98,601.63 × 32,498.50
  4. Step 4: Simplify right side
    65,817.31x = 3,204,405,072.56
  5. Step 5: Solve for x
    x = 3,204,405,072.56/65,817.31
  6. Step 6: Final answer
    x = 48,686.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.