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Finding the Fourth Proportional to 20,051.92, 30,080.80 and 6,202

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Solution

The fourth proportional to 20,051.92, 30,080.80 and 6,202 is: 9,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.92 : 30,080.80 = 6,202 : x
  2. Step 2: Convert to fraction form
    20,051.92/30,080.80 = 6,202/x
  3. Step 3: Cross multiply
    20,051.92x = 30,080.80 × 6,202
  4. Step 4: Simplify right side
    20,051.92x = 186,561,121.60
  5. Step 5: Solve for x
    x = 186,561,121.60/20,051.92
  6. Step 6: Final answer
    x = 9,303.90

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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.