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Finding the Fourth Proportional to 35,212.25, 48,580.84 and 20,094

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Solution

The fourth proportional to 35,212.25, 48,580.84 and 20,094 is: 27,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212.25 : 48,580.84 = 20,094 : x
  2. Step 2: Convert to fraction form
    35,212.25/48,580.84 = 20,094/x
  3. Step 3: Cross multiply
    35,212.25x = 48,580.84 × 20,094
  4. Step 4: Simplify right side
    35,212.25x = 976,183,398.96
  5. Step 5: Solve for x
    x = 976,183,398.96/35,212.25
  6. Step 6: Final answer
    x = 27,722.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.