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Finding the Fourth Proportional to 33,871.72, 50,779.76 and 16,993.52

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Solution

The fourth proportional to 33,871.72, 50,779.76 and 16,993.52 is: 25,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871.72 : 50,779.76 = 16,993.52 : x
  2. Step 2: Convert to fraction form
    33,871.72/50,779.76 = 16,993.52/x
  3. Step 3: Cross multiply
    33,871.72x = 50,779.76 × 16,993.52
  4. Step 4: Simplify right side
    33,871.72x = 862,926,867.16
  5. Step 5: Solve for x
    x = 862,926,867.16/33,871.72
  6. Step 6: Final answer
    x = 25,476.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.