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Finding the Fourth Proportional to 32,067.16, 48,103.14 and 8,693.24

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Solution

The fourth proportional to 32,067.16, 48,103.14 and 8,693.24 is: 13,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.16 : 48,103.14 = 8,693.24 : x
  2. Step 2: Convert to fraction form
    32,067.16/48,103.14 = 8,693.24/x
  3. Step 3: Cross multiply
    32,067.16x = 48,103.14 × 8,693.24
  4. Step 4: Simplify right side
    32,067.16x = 418,172,140.77
  5. Step 5: Solve for x
    x = 418,172,140.77/32,067.16
  6. Step 6: Final answer
    x = 13,040.51

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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.