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Finding the Fourth Proportional to 32,505.00, 48,761.57 and 11,161.86

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Solution

The fourth proportional to 32,505.00, 48,761.57 and 11,161.86 is: 16,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.00 : 48,761.57 = 11,161.86 : x
  2. Step 2: Convert to fraction form
    32,505.00/48,761.57 = 11,161.86/x
  3. Step 3: Cross multiply
    32,505.00x = 48,761.57 × 11,161.86
  4. Step 4: Simplify right side
    32,505.00x = 544,269,599.98
  5. Step 5: Solve for x
    x = 544,269,599.98/32,505.00
  6. Step 6: Final answer
    x = 16,744.18

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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.