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Finding the Fourth Proportional to 33,698.34, 50,565.72 and 13,990.50

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Solution

The fourth proportional to 33,698.34, 50,565.72 and 13,990.50 is: 20,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.34 : 50,565.72 = 13,990.50 : x
  2. Step 2: Convert to fraction form
    33,698.34/50,565.72 = 13,990.50/x
  3. Step 3: Cross multiply
    33,698.34x = 50,565.72 × 13,990.50
  4. Step 4: Simplify right side
    33,698.34x = 707,439,705.66
  5. Step 5: Solve for x
    x = 707,439,705.66/33,698.34
  6. Step 6: Final answer
    x = 20,993.31

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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.