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Finding the Fourth Proportional to 32,183.70, 48,307.86 and 29,987.82

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Solution

The fourth proportional to 32,183.70, 48,307.86 and 29,987.82 is: 45,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.70 : 48,307.86 = 29,987.82 : x
  2. Step 2: Convert to fraction form
    32,183.70/48,307.86 = 29,987.82/x
  3. Step 3: Cross multiply
    32,183.70x = 48,307.86 × 29,987.82
  4. Step 4: Simplify right side
    32,183.70x = 1,448,647,410.27
  5. Step 5: Solve for x
    x = 1,448,647,410.27/32,183.70
  6. Step 6: Final answer
    x = 45,011.84

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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.