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Finding the Fourth Proportional to 32,043.72, 48,072.41 and 10,978.11

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Solution

The fourth proportional to 32,043.72, 48,072.41 and 10,978.11 is: 16,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.72 : 48,072.41 = 10,978.11 : x
  2. Step 2: Convert to fraction form
    32,043.72/48,072.41 = 10,978.11/x
  3. Step 3: Cross multiply
    32,043.72x = 48,072.41 × 10,978.11
  4. Step 4: Simplify right side
    32,043.72x = 527,744,150.05
  5. Step 5: Solve for x
    x = 527,744,150.05/32,043.72
  6. Step 6: Final answer
    x = 16,469.50

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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.