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Finding the Fourth Proportional to 92,997.50, 139,496.32 and 30,668

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Solution

The fourth proportional to 92,997.50, 139,496.32 and 30,668 is: 46,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,997.50 : 139,496.32 = 30,668 : x
  2. Step 2: Convert to fraction form
    92,997.50/139,496.32 = 30,668/x
  3. Step 3: Cross multiply
    92,997.50x = 139,496.32 × 30,668
  4. Step 4: Simplify right side
    92,997.50x = 4,278,073,141.76
  5. Step 5: Solve for x
    x = 4,278,073,141.76/92,997.50
  6. Step 6: Final answer
    x = 46,002.02

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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.