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Finding the Fourth Proportional to 32,911.92, 49,351.68 and 9,532.08

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Solution

The fourth proportional to 32,911.92, 49,351.68 and 9,532.08 is: 14,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.92 : 49,351.68 = 9,532.08 : x
  2. Step 2: Convert to fraction form
    32,911.92/49,351.68 = 9,532.08/x
  3. Step 3: Cross multiply
    32,911.92x = 49,351.68 × 9,532.08
  4. Step 4: Simplify right side
    32,911.92x = 470,424,161.89
  5. Step 5: Solve for x
    x = 470,424,161.89/32,911.92
  6. Step 6: Final answer
    x = 14,293.43

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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.