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Finding the Fourth Proportional to 67,184.38, 100,709.70 and 32,083

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Solution

The fourth proportional to 67,184.38, 100,709.70 and 32,083 is: 48,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184.38 : 100,709.70 = 32,083 : x
  2. Step 2: Convert to fraction form
    67,184.38/100,709.70 = 32,083/x
  3. Step 3: Cross multiply
    67,184.38x = 100,709.70 × 32,083
  4. Step 4: Simplify right side
    67,184.38x = 3,231,069,305.10
  5. Step 5: Solve for x
    x = 3,231,069,305.10/67,184.38
  6. Step 6: Final answer
    x = 48,092.57

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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.