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Finding the Fourth Proportional to 32,105.39, 48,164.63 and 11,042.69

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Solution

The fourth proportional to 32,105.39, 48,164.63 and 11,042.69 is: 16,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.39 : 48,164.63 = 11,042.69 : x
  2. Step 2: Convert to fraction form
    32,105.39/48,164.63 = 11,042.69/x
  3. Step 3: Cross multiply
    32,105.39x = 48,164.63 × 11,042.69
  4. Step 4: Simplify right side
    32,105.39x = 531,866,782.02
  5. Step 5: Solve for x
    x = 531,866,782.02/32,105.39
  6. Step 6: Final answer
    x = 16,566.28

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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.