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Finding the Fourth Proportional to 67,182.96, 100,712.22 and 29,723.16

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Solution

The fourth proportional to 67,182.96, 100,712.22 and 29,723.16 is: 44,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182.96 : 100,712.22 = 29,723.16 : x
  2. Step 2: Convert to fraction form
    67,182.96/100,712.22 = 29,723.16/x
  3. Step 3: Cross multiply
    67,182.96x = 100,712.22 × 29,723.16
  4. Step 4: Simplify right side
    67,182.96x = 2,993,485,429.02
  5. Step 5: Solve for x
    x = 2,993,485,429.02/67,182.96
  6. Step 6: Final answer
    x = 44,557.21

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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.