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Finding the Fourth Proportional to 69,202.56, 103,726.08 and 29,778.24

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Solution

The fourth proportional to 69,202.56, 103,726.08 and 29,778.24 is: 44,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.56 : 103,726.08 = 29,778.24 : x
  2. Step 2: Convert to fraction form
    69,202.56/103,726.08 = 29,778.24/x
  3. Step 3: Cross multiply
    69,202.56x = 103,726.08 × 29,778.24
  4. Step 4: Simplify right side
    69,202.56x = 3,088,780,104.50
  5. Step 5: Solve for x
    x = 3,088,780,104.50/69,202.56
  6. Step 6: Final answer
    x = 44,633.90

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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.