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Finding the Fourth Proportional to 107,713.73, 161,570.32 and 28,827.97

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Solution

The fourth proportional to 107,713.73, 161,570.32 and 28,827.97 is: 43,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713.73 : 161,570.32 = 28,827.97 : x
  2. Step 2: Convert to fraction form
    107,713.73/161,570.32 = 28,827.97/x
  3. Step 3: Cross multiply
    107,713.73x = 161,570.32 × 28,827.97
  4. Step 4: Simplify right side
    107,713.73x = 4,657,743,861.85
  5. Step 5: Solve for x
    x = 4,657,743,861.85/107,713.73
  6. Step 6: Final answer
    x = 43,241.88

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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.