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Finding the Fourth Proportional to 20,029.66, 30,048.80 and 5,990.80

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Solution

The fourth proportional to 20,029.66, 30,048.80 and 5,990.80 is: 8,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.66 : 30,048.80 = 5,990.80 : x
  2. Step 2: Convert to fraction form
    20,029.66/30,048.80 = 5,990.80/x
  3. Step 3: Cross multiply
    20,029.66x = 30,048.80 × 5,990.80
  4. Step 4: Simplify right side
    20,029.66x = 180,016,351.04
  5. Step 5: Solve for x
    x = 180,016,351.04/20,029.66
  6. Step 6: Final answer
    x = 8,987.49

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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.