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Finding the Fourth Proportional to 29,689.50, 44,553.69 and 11,221.50

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Solution

The fourth proportional to 29,689.50, 44,553.69 and 11,221.50 is: 16,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.50 : 44,553.69 = 11,221.50 : x
  2. Step 2: Convert to fraction form
    29,689.50/44,553.69 = 11,221.50/x
  3. Step 3: Cross multiply
    29,689.50x = 44,553.69 × 11,221.50
  4. Step 4: Simplify right side
    29,689.50x = 499,959,232.34
  5. Step 5: Solve for x
    x = 499,959,232.34/29,689.50
  6. Step 6: Final answer
    x = 16,839.60

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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.