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Finding the Fourth Proportional to 36,233.84, 54,333.48 and 15,446

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Solution

The fourth proportional to 36,233.84, 54,333.48 and 15,446 is: 23,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,233.84 : 54,333.48 = 15,446 : x
  2. Step 2: Convert to fraction form
    36,233.84/54,333.48 = 15,446/x
  3. Step 3: Cross multiply
    36,233.84x = 54,333.48 × 15,446
  4. Step 4: Simplify right side
    36,233.84x = 839,234,932.08
  5. Step 5: Solve for x
    x = 839,234,932.08/36,233.84
  6. Step 6: Final answer
    x = 23,161.63

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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.