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Finding the Fourth Proportional to 29,658.44, 44,480.46 and 13,853.48

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Solution

The fourth proportional to 29,658.44, 44,480.46 and 13,853.48 is: 20,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.44 : 44,480.46 = 13,853.48 : x
  2. Step 2: Convert to fraction form
    29,658.44/44,480.46 = 13,853.48/x
  3. Step 3: Cross multiply
    29,658.44x = 44,480.46 × 13,853.48
  4. Step 4: Simplify right side
    29,658.44x = 616,209,163.00
  5. Step 5: Solve for x
    x = 616,209,163.00/29,658.44
  6. Step 6: Final answer
    x = 20,776.86

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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.