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Finding the Fourth Proportional to 35,226.12, 52,845.12 and 11,847

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Solution

The fourth proportional to 35,226.12, 52,845.12 and 11,847 is: 17,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,226.12 : 52,845.12 = 11,847 : x
  2. Step 2: Convert to fraction form
    35,226.12/52,845.12 = 11,847/x
  3. Step 3: Cross multiply
    35,226.12x = 52,845.12 × 11,847
  4. Step 4: Simplify right side
    35,226.12x = 626,056,136.64
  5. Step 5: Solve for x
    x = 626,056,136.64/35,226.12
  6. Step 6: Final answer
    x = 17,772.50

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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.