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Finding the Fourth Proportional to 32,067.67, 48,112.04 and 15,425.51

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Solution

The fourth proportional to 32,067.67, 48,112.04 and 15,425.51 is: 23,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.67 : 48,112.04 = 15,425.51 : x
  2. Step 2: Convert to fraction form
    32,067.67/48,112.04 = 15,425.51/x
  3. Step 3: Cross multiply
    32,067.67x = 48,112.04 × 15,425.51
  4. Step 4: Simplify right side
    32,067.67x = 742,152,754.14
  5. Step 5: Solve for x
    x = 742,152,754.14/32,067.67
  6. Step 6: Final answer
    x = 23,143.33

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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.