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Finding the Fourth Proportional to 67,083.12, 100,702.44 and 35,979.12

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Solution

The fourth proportional to 67,083.12, 100,702.44 and 35,979.12 is: 54,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,083.12 : 100,702.44 = 35,979.12 : x
  2. Step 2: Convert to fraction form
    67,083.12/100,702.44 = 35,979.12/x
  3. Step 3: Cross multiply
    67,083.12x = 100,702.44 × 35,979.12
  4. Step 4: Simplify right side
    67,083.12x = 3,623,185,173.05
  5. Step 5: Solve for x
    x = 3,623,185,173.05/67,083.12
  6. Step 6: Final answer
    x = 54,010.39

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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.