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Finding the Fourth Proportional to 35,269.62, 52,915.23 and 11,894.10

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Solution

The fourth proportional to 35,269.62, 52,915.23 and 11,894.10 is: 17,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,269.62 : 52,915.23 = 11,894.10 : x
  2. Step 2: Convert to fraction form
    35,269.62/52,915.23 = 11,894.10/x
  3. Step 3: Cross multiply
    35,269.62x = 52,915.23 × 11,894.10
  4. Step 4: Simplify right side
    35,269.62x = 629,379,037.14
  5. Step 5: Solve for x
    x = 629,379,037.14/35,269.62
  6. Step 6: Final answer
    x = 17,844.79

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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.