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Finding the Fourth Proportional to 32,138.58, 48,206.44 and 8,765.02

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Solution

The fourth proportional to 32,138.58, 48,206.44 and 8,765.02 is: 13,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.58 : 48,206.44 = 8,765.02 : x
  2. Step 2: Convert to fraction form
    32,138.58/48,206.44 = 8,765.02/x
  3. Step 3: Cross multiply
    32,138.58x = 48,206.44 × 8,765.02
  4. Step 4: Simplify right side
    32,138.58x = 422,530,410.73
  5. Step 5: Solve for x
    x = 422,530,410.73/32,138.58
  6. Step 6: Final answer
    x = 13,147.14

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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.