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Finding the Fourth Proportional to 32,683.32, 49,020.34 and 10,493.82

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Solution

The fourth proportional to 32,683.32, 49,020.34 and 10,493.82 is: 15,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.32 : 49,020.34 = 10,493.82 : x
  2. Step 2: Convert to fraction form
    32,683.32/49,020.34 = 10,493.82/x
  3. Step 3: Cross multiply
    32,683.32x = 49,020.34 × 10,493.82
  4. Step 4: Simplify right side
    32,683.32x = 514,410,624.30
  5. Step 5: Solve for x
    x = 514,410,624.30/32,683.32
  6. Step 6: Final answer
    x = 15,739.24

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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.