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Finding the Fourth Proportional to 33,781.96, 50,705.61 and 24,990.22

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Solution

The fourth proportional to 33,781.96, 50,705.61 and 24,990.22 is: 37,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.96 : 50,705.61 = 24,990.22 : x
  2. Step 2: Convert to fraction form
    33,781.96/50,705.61 = 24,990.22/x
  3. Step 3: Cross multiply
    33,781.96x = 50,705.61 × 24,990.22
  4. Step 4: Simplify right side
    33,781.96x = 1,267,144,349.13
  5. Step 5: Solve for x
    x = 1,267,144,349.13/33,781.96
  6. Step 6: Final answer
    x = 37,509.50

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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.