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Finding the Fourth Proportional to 29,481, 40,683.78 and 16,233

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Solution

The fourth proportional to 29,481, 40,683.78 and 16,233 is: 22,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,481 : 40,683.78 = 16,233 : x
  2. Step 2: Convert to fraction form
    29,481/40,683.78 = 16,233/x
  3. Step 3: Cross multiply
    29,481x = 40,683.78 × 16,233
  4. Step 4: Simplify right side
    29,481x = 660,419,800.74
  5. Step 5: Solve for x
    x = 660,419,800.74/29,481
  6. Step 6: Final answer
    x = 22,401.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.