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Finding the Fourth Proportional to 71,102.44, 106,684.80 and 33,689.22

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Solution

The fourth proportional to 71,102.44, 106,684.80 and 33,689.22 is: 50,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.44 : 106,684.80 = 33,689.22 : x
  2. Step 2: Convert to fraction form
    71,102.44/106,684.80 = 33,689.22/x
  3. Step 3: Cross multiply
    71,102.44x = 106,684.80 × 33,689.22
  4. Step 4: Simplify right side
    71,102.44x = 3,594,127,697.86
  5. Step 5: Solve for x
    x = 3,594,127,697.86/71,102.44
  6. Step 6: Final answer
    x = 50,548.58

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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.