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Finding the Fourth Proportional to 32,884.82, 49,327.68 and 10,698.31

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Solution

The fourth proportional to 32,884.82, 49,327.68 and 10,698.31 is: 16,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.82 : 49,327.68 = 10,698.31 : x
  2. Step 2: Convert to fraction form
    32,884.82/49,327.68 = 10,698.31/x
  3. Step 3: Cross multiply
    32,884.82x = 49,327.68 × 10,698.31
  4. Step 4: Simplify right side
    32,884.82x = 527,722,812.22
  5. Step 5: Solve for x
    x = 527,722,812.22/32,884.82
  6. Step 6: Final answer
    x = 16,047.61

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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.