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Finding the Fourth Proportional to 33,986.60, 50,987.10 and 10,292.20

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Solution

The fourth proportional to 33,986.60, 50,987.10 and 10,292.20 is: 15,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986.60 : 50,987.10 = 10,292.20 : x
  2. Step 2: Convert to fraction form
    33,986.60/50,987.10 = 10,292.20/x
  3. Step 3: Cross multiply
    33,986.60x = 50,987.10 × 10,292.20
  4. Step 4: Simplify right side
    33,986.60x = 524,769,430.62
  5. Step 5: Solve for x
    x = 524,769,430.62/33,986.60
  6. Step 6: Final answer
    x = 15,440.48

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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.