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Finding the Fourth Proportional to 32,745.31, 49,044.84 and 28,473.83

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Solution

The fourth proportional to 32,745.31, 49,044.84 and 28,473.83 is: 42,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,745.31 : 49,044.84 = 28,473.83 : x
  2. Step 2: Convert to fraction form
    32,745.31/49,044.84 = 28,473.83/x
  3. Step 3: Cross multiply
    32,745.31x = 49,044.84 × 28,473.83
  4. Step 4: Simplify right side
    32,745.31x = 1,396,494,428.62
  5. Step 5: Solve for x
    x = 1,396,494,428.62/32,745.31
  6. Step 6: Final answer
    x = 42,647.15

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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.