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Finding the Fourth Proportional to 35,193.69, 52,794.99 and 16,213.77

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Solution

The fourth proportional to 35,193.69, 52,794.99 and 16,213.77 is: 24,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,193.69 : 52,794.99 = 16,213.77 : x
  2. Step 2: Convert to fraction form
    35,193.69/52,794.99 = 16,213.77/x
  3. Step 3: Cross multiply
    35,193.69x = 52,794.99 × 16,213.77
  4. Step 4: Simplify right side
    35,193.69x = 856,005,825.01
  5. Step 5: Solve for x
    x = 856,005,825.01/35,193.69
  6. Step 6: Final answer
    x = 24,322.71

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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.