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Finding the Fourth Proportional to 32,942.43, 49,418.46 and 9,565.83

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Solution

The fourth proportional to 32,942.43, 49,418.46 and 9,565.83 is: 14,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.43 : 49,418.46 = 9,565.83 : x
  2. Step 2: Convert to fraction form
    32,942.43/49,418.46 = 9,565.83/x
  3. Step 3: Cross multiply
    32,942.43x = 49,418.46 × 9,565.83
  4. Step 4: Simplify right side
    32,942.43x = 472,728,587.22
  5. Step 5: Solve for x
    x = 472,728,587.22/32,942.43
  6. Step 6: Final answer
    x = 14,350.14

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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.