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Finding the Fourth Proportional to 92,153.82, 138,231.99 and 32,993.22

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Solution

The fourth proportional to 92,153.82, 138,231.99 and 32,993.22 is: 49,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,153.82 : 138,231.99 = 32,993.22 : x
  2. Step 2: Convert to fraction form
    92,153.82/138,231.99 = 32,993.22/x
  3. Step 3: Cross multiply
    92,153.82x = 138,231.99 × 32,993.22
  4. Step 4: Simplify right side
    92,153.82x = 4,560,718,457.11
  5. Step 5: Solve for x
    x = 4,560,718,457.11/92,153.82
  6. Step 6: Final answer
    x = 49,490.28

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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.