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Finding the Fourth Proportional to 67,993.02, 101,841.84 and 32,859

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Solution

The fourth proportional to 67,993.02, 101,841.84 and 32,859 is: 49,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,993.02 : 101,841.84 = 32,859 : x
  2. Step 2: Convert to fraction form
    67,993.02/101,841.84 = 32,859/x
  3. Step 3: Cross multiply
    67,993.02x = 101,841.84 × 32,859
  4. Step 4: Simplify right side
    67,993.02x = 3,346,421,020.56
  5. Step 5: Solve for x
    x = 3,346,421,020.56/67,993.02
  6. Step 6: Final answer
    x = 49,217.13

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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.