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Finding the Fourth Proportional to 107,615.76, 161,449.56 and 33,743.76

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Solution

The fourth proportional to 107,615.76, 161,449.56 and 33,743.76 is: 50,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,615.76 : 161,449.56 = 33,743.76 : x
  2. Step 2: Convert to fraction form
    107,615.76/161,449.56 = 33,743.76/x
  3. Step 3: Cross multiply
    107,615.76x = 161,449.56 × 33,743.76
  4. Step 4: Simplify right side
    107,615.76x = 5,447,915,204.75
  5. Step 5: Solve for x
    x = 5,447,915,204.75/107,615.76
  6. Step 6: Final answer
    x = 50,623.77

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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.