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Finding the Fourth Proportional to 32,939.68, 49,417.62 and 9,566.32

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Solution

The fourth proportional to 32,939.68, 49,417.62 and 9,566.32 is: 14,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939.68 : 49,417.62 = 9,566.32 : x
  2. Step 2: Convert to fraction form
    32,939.68/49,417.62 = 9,566.32/x
  3. Step 3: Cross multiply
    32,939.68x = 49,417.62 × 9,566.32
  4. Step 4: Simplify right side
    32,939.68x = 472,744,766.56
  5. Step 5: Solve for x
    x = 472,744,766.56/32,939.68
  6. Step 6: Final answer
    x = 14,351.83

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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.