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Finding the Fourth Proportional to 32,765.10, 49,138.65 and 9,067.02

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Solution

The fourth proportional to 32,765.10, 49,138.65 and 9,067.02 is: 13,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.10 : 49,138.65 = 9,067.02 : x
  2. Step 2: Convert to fraction form
    32,765.10/49,138.65 = 9,067.02/x
  3. Step 3: Cross multiply
    32,765.10x = 49,138.65 × 9,067.02
  4. Step 4: Simplify right side
    32,765.10x = 445,541,122.32
  5. Step 5: Solve for x
    x = 445,541,122.32/32,765.10
  6. Step 6: Final answer
    x = 13,598.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.