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Finding the Fourth Proportional to 33,092.30, 49,633.58 and 13,370.42

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Solution

The fourth proportional to 33,092.30, 49,633.58 and 13,370.42 is: 20,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092.30 : 49,633.58 = 13,370.42 : x
  2. Step 2: Convert to fraction form
    33,092.30/49,633.58 = 13,370.42/x
  3. Step 3: Cross multiply
    33,092.30x = 49,633.58 × 13,370.42
  4. Step 4: Simplify right side
    33,092.30x = 663,621,810.70
  5. Step 5: Solve for x
    x = 663,621,810.70/33,092.30
  6. Step 6: Final answer
    x = 20,053.66

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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.