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Finding the Fourth Proportional to 29,829.35, 44,691.37 and 15,758.30

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Solution

The fourth proportional to 29,829.35, 44,691.37 and 15,758.30 is: 23,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.35 : 44,691.37 = 15,758.30 : x
  2. Step 2: Convert to fraction form
    29,829.35/44,691.37 = 15,758.30/x
  3. Step 3: Cross multiply
    29,829.35x = 44,691.37 × 15,758.30
  4. Step 4: Simplify right side
    29,829.35x = 704,260,088.20
  5. Step 5: Solve for x
    x = 704,260,088.20/29,829.35
  6. Step 6: Final answer
    x = 23,609.63

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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.