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Finding the Fourth Proportional to 32,080.86, 48,116.43 and 11,299.50

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Solution

The fourth proportional to 32,080.86, 48,116.43 and 11,299.50 is: 16,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.86 : 48,116.43 = 11,299.50 : x
  2. Step 2: Convert to fraction form
    32,080.86/48,116.43 = 11,299.50/x
  3. Step 3: Cross multiply
    32,080.86x = 48,116.43 × 11,299.50
  4. Step 4: Simplify right side
    32,080.86x = 543,691,600.79
  5. Step 5: Solve for x
    x = 543,691,600.79/32,080.86
  6. Step 6: Final answer
    x = 16,947.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.