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Finding the Fourth Proportional to 32,216.46, 48,331.41 and 10,032.78

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Solution

The fourth proportional to 32,216.46, 48,331.41 and 10,032.78 is: 15,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216.46 : 48,331.41 = 10,032.78 : x
  2. Step 2: Convert to fraction form
    32,216.46/48,331.41 = 10,032.78/x
  3. Step 3: Cross multiply
    32,216.46x = 48,331.41 × 10,032.78
  4. Step 4: Simplify right side
    32,216.46x = 484,898,403.62
  5. Step 5: Solve for x
    x = 484,898,403.62/32,216.46
  6. Step 6: Final answer
    x = 15,051.26

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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.