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Finding the Fourth Proportional to 29,685.26, 44,523.77 and 7,497.27

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Solution

The fourth proportional to 29,685.26, 44,523.77 and 7,497.27 is: 11,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.26 : 44,523.77 = 7,497.27 : x
  2. Step 2: Convert to fraction form
    29,685.26/44,523.77 = 7,497.27/x
  3. Step 3: Cross multiply
    29,685.26x = 44,523.77 × 7,497.27
  4. Step 4: Simplify right side
    29,685.26x = 333,806,687.62
  5. Step 5: Solve for x
    x = 333,806,687.62/29,685.26
  6. Step 6: Final answer
    x = 11,244.87

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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.