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Finding the Fourth Proportional to 73,233.26, 109,810.35 and 33,230.42

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Solution

The fourth proportional to 73,233.26, 109,810.35 and 33,230.42 is: 49,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233.26 : 109,810.35 = 33,230.42 : x
  2. Step 2: Convert to fraction form
    73,233.26/109,810.35 = 33,230.42/x
  3. Step 3: Cross multiply
    73,233.26x = 109,810.35 × 33,230.42
  4. Step 4: Simplify right side
    73,233.26x = 3,649,043,501.80
  5. Step 5: Solve for x
    x = 3,649,043,501.80/73,233.26
  6. Step 6: Final answer
    x = 49,827.68

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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.