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Finding the Fourth Proportional to 49,044, 73,566.24 and 12,108

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Solution

The fourth proportional to 49,044, 73,566.24 and 12,108 is: 18,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,044 : 73,566.24 = 12,108 : x
  2. Step 2: Convert to fraction form
    49,044/73,566.24 = 12,108/x
  3. Step 3: Cross multiply
    49,044x = 73,566.24 × 12,108
  4. Step 4: Simplify right side
    49,044x = 890,740,033.92
  5. Step 5: Solve for x
    x = 890,740,033.92/49,044
  6. Step 6: Final answer
    x = 18,162.06

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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.