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Finding the Fourth Proportional to 36,033, 54,049.50 and 12,660.18

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Solution

The fourth proportional to 36,033, 54,049.50 and 12,660.18 is: 18,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033 : 54,049.50 = 12,660.18 : x
  2. Step 2: Convert to fraction form
    36,033/54,049.50 = 12,660.18/x
  3. Step 3: Cross multiply
    36,033x = 54,049.50 × 12,660.18
  4. Step 4: Simplify right side
    36,033x = 684,276,398.91
  5. Step 5: Solve for x
    x = 684,276,398.91/36,033
  6. Step 6: Final answer
    x = 18,990.27

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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.