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Finding the Fourth Proportional to 20,053, 30,080.22 and 6,201.64

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Solution

The fourth proportional to 20,053, 30,080.22 and 6,201.64 is: 9,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053 : 30,080.22 = 6,201.64 : x
  2. Step 2: Convert to fraction form
    20,053/30,080.22 = 6,201.64/x
  3. Step 3: Cross multiply
    20,053x = 30,080.22 × 6,201.64
  4. Step 4: Simplify right side
    20,053x = 186,546,695.56
  5. Step 5: Solve for x
    x = 186,546,695.56/20,053
  6. Step 6: Final answer
    x = 9,302.68

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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.