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Finding the Fourth Proportional to 52,169.86, 71,993.10 and 29,199.34

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Solution

The fourth proportional to 52,169.86, 71,993.10 and 29,199.34 is: 40,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,169.86 : 71,993.10 = 29,199.34 : x
  2. Step 2: Convert to fraction form
    52,169.86/71,993.10 = 29,199.34/x
  3. Step 3: Cross multiply
    52,169.86x = 71,993.10 × 29,199.34
  4. Step 4: Simplify right side
    52,169.86x = 2,102,151,004.55
  5. Step 5: Solve for x
    x = 2,102,151,004.55/52,169.86
  6. Step 6: Final answer
    x = 40,294.36

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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.