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Finding the Fourth Proportional to 35,794.70, 53,613.10 and 22,424.16

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Solution

The fourth proportional to 35,794.70, 53,613.10 and 22,424.16 is: 33,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.70 : 53,613.10 = 22,424.16 : x
  2. Step 2: Convert to fraction form
    35,794.70/53,613.10 = 22,424.16/x
  3. Step 3: Cross multiply
    35,794.70x = 53,613.10 × 22,424.16
  4. Step 4: Simplify right side
    35,794.70x = 1,202,228,732.50
  5. Step 5: Solve for x
    x = 1,202,228,732.50/35,794.70
  6. Step 6: Final answer
    x = 33,586.78

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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.