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Finding the Fourth Proportional to 36,333, 54,502.83 and 12,644.76

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Solution

The fourth proportional to 36,333, 54,502.83 and 12,644.76 is: 18,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,333 : 54,502.83 = 12,644.76 : x
  2. Step 2: Convert to fraction form
    36,333/54,502.83 = 12,644.76/x
  3. Step 3: Cross multiply
    36,333x = 54,502.83 × 12,644.76
  4. Step 4: Simplify right side
    36,333x = 689,175,204.67
  5. Step 5: Solve for x
    x = 689,175,204.67/36,333
  6. Step 6: Final answer
    x = 18,968.30

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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.