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Finding the Fourth Proportional to 52,168.86, 71,991.72 and 29,198.34

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Solution

The fourth proportional to 52,168.86, 71,991.72 and 29,198.34 is: 40,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168.86 : 71,991.72 = 29,198.34 : x
  2. Step 2: Convert to fraction form
    52,168.86/71,991.72 = 29,198.34/x
  3. Step 3: Cross multiply
    52,168.86x = 71,991.72 × 29,198.34
  4. Step 4: Simplify right side
    52,168.86x = 2,102,038,717.74
  5. Step 5: Solve for x
    x = 2,102,038,717.74/52,168.86
  6. Step 6: Final answer
    x = 40,292.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.