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Finding the Fourth Proportional to 65,901.96, 98,896.68 and 34,759.08

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Solution

The fourth proportional to 65,901.96, 98,896.68 and 34,759.08 is: 52,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,901.96 : 98,896.68 = 34,759.08 : x
  2. Step 2: Convert to fraction form
    65,901.96/98,896.68 = 34,759.08/x
  3. Step 3: Cross multiply
    65,901.96x = 98,896.68 × 34,759.08
  4. Step 4: Simplify right side
    65,901.96x = 3,437,557,611.85
  5. Step 5: Solve for x
    x = 3,437,557,611.85/65,901.96
  6. Step 6: Final answer
    x = 52,161.69

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Why These Related Problems?

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