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Finding the Fourth Proportional to 32,017.11, 48,032.81 and 9,832.73

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Solution

The fourth proportional to 32,017.11, 48,032.81 and 9,832.73 is: 14,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.11 : 48,032.81 = 9,832.73 : x
  2. Step 2: Convert to fraction form
    32,017.11/48,032.81 = 9,832.73/x
  3. Step 3: Cross multiply
    32,017.11x = 48,032.81 × 9,832.73
  4. Step 4: Simplify right side
    32,017.11x = 472,293,362.54
  5. Step 5: Solve for x
    x = 472,293,362.54/32,017.11
  6. Step 6: Final answer
    x = 14,751.28

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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.