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Finding the Fourth Proportional to 32,076.39, 48,114.71 and 11,022.51

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Solution

The fourth proportional to 32,076.39, 48,114.71 and 11,022.51 is: 16,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.39 : 48,114.71 = 11,022.51 : x
  2. Step 2: Convert to fraction form
    32,076.39/48,114.71 = 11,022.51/x
  3. Step 3: Cross multiply
    32,076.39x = 48,114.71 × 11,022.51
  4. Step 4: Simplify right side
    32,076.39x = 530,344,872.12
  5. Step 5: Solve for x
    x = 530,344,872.12/32,076.39
  6. Step 6: Final answer
    x = 16,533.81

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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.