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Finding the Fourth Proportional to 29,531.80, 44,289.76 and 20,170.20

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Solution

The fourth proportional to 29,531.80, 44,289.76 and 20,170.20 is: 30,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.80 : 44,289.76 = 20,170.20 : x
  2. Step 2: Convert to fraction form
    29,531.80/44,289.76 = 20,170.20/x
  3. Step 3: Cross multiply
    29,531.80x = 44,289.76 × 20,170.20
  4. Step 4: Simplify right side
    29,531.80x = 893,333,317.15
  5. Step 5: Solve for x
    x = 893,333,317.15/29,531.80
  6. Step 6: Final answer
    x = 30,249.88

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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.