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Finding the Fourth Proportional to 32,683.16, 49,024.50 and 9,309.56

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Solution

The fourth proportional to 32,683.16, 49,024.50 and 9,309.56 is: 13,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.16 : 49,024.50 = 9,309.56 : x
  2. Step 2: Convert to fraction form
    32,683.16/49,024.50 = 9,309.56/x
  3. Step 3: Cross multiply
    32,683.16x = 49,024.50 × 9,309.56
  4. Step 4: Simplify right side
    32,683.16x = 456,396,524.22
  5. Step 5: Solve for x
    x = 456,396,524.22/32,683.16
  6. Step 6: Final answer
    x = 13,964.27

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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.