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Finding the Fourth Proportional to 29,755.50, 44,633.26 and 11,287.50

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Solution

The fourth proportional to 29,755.50, 44,633.26 and 11,287.50 is: 16,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755.50 : 44,633.26 = 11,287.50 : x
  2. Step 2: Convert to fraction form
    29,755.50/44,633.26 = 11,287.50/x
  3. Step 3: Cross multiply
    29,755.50x = 44,633.26 × 11,287.50
  4. Step 4: Simplify right side
    29,755.50x = 503,797,922.25
  5. Step 5: Solve for x
    x = 503,797,922.25/29,755.50
  6. Step 6: Final answer
    x = 16,931.25

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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.