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Finding the Fourth Proportional to 71,162.22, 106,774.32 and 33,748.50

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Solution

The fourth proportional to 71,162.22, 106,774.32 and 33,748.50 is: 50,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.22 : 106,774.32 = 33,748.50 : x
  2. Step 2: Convert to fraction form
    71,162.22/106,774.32 = 33,748.50/x
  3. Step 3: Cross multiply
    71,162.22x = 106,774.32 × 33,748.50
  4. Step 4: Simplify right side
    71,162.22x = 3,603,473,138.52
  5. Step 5: Solve for x
    x = 3,603,473,138.52/71,162.22
  6. Step 6: Final answer
    x = 50,637.45

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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.