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Finding the Fourth Proportional to 35,183.80, 52,814.10 and 19,631.80

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Solution

The fourth proportional to 35,183.80, 52,814.10 and 19,631.80 is: 29,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,183.80 : 52,814.10 = 19,631.80 : x
  2. Step 2: Convert to fraction form
    35,183.80/52,814.10 = 19,631.80/x
  3. Step 3: Cross multiply
    35,183.80x = 52,814.10 × 19,631.80
  4. Step 4: Simplify right side
    35,183.80x = 1,036,835,848.38
  5. Step 5: Solve for x
    x = 1,036,835,848.38/35,183.80
  6. Step 6: Final answer
    x = 29,469.13

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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.