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Finding the Fourth Proportional to 32,006.75, 48,009.92 and 17,222.63

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Solution

The fourth proportional to 32,006.75, 48,009.92 and 17,222.63 is: 25,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.75 : 48,009.92 = 17,222.63 : x
  2. Step 2: Convert to fraction form
    32,006.75/48,009.92 = 17,222.63/x
  3. Step 3: Cross multiply
    32,006.75x = 48,009.92 × 17,222.63
  4. Step 4: Simplify right side
    32,006.75x = 826,856,762.33
  5. Step 5: Solve for x
    x = 826,856,762.33/32,006.75
  6. Step 6: Final answer
    x = 25,833.83

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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.