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Finding the Fourth Proportional to 33,987.60, 50,980.05 and 11,806.02

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Solution

The fourth proportional to 33,987.60, 50,980.05 and 11,806.02 is: 17,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.60 : 50,980.05 = 11,806.02 : x
  2. Step 2: Convert to fraction form
    33,987.60/50,980.05 = 11,806.02/x
  3. Step 3: Cross multiply
    33,987.60x = 50,980.05 × 11,806.02
  4. Step 4: Simplify right side
    33,987.60x = 601,871,489.90
  5. Step 5: Solve for x
    x = 601,871,489.90/33,987.60
  6. Step 6: Final answer
    x = 17,708.56

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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.