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Finding the Fourth Proportional to 38,844, 53,604.72 and 22,080.24

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Solution

The fourth proportional to 38,844, 53,604.72 and 22,080.24 is: 30,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844 : 53,604.72 = 22,080.24 : x
  2. Step 2: Convert to fraction form
    38,844/53,604.72 = 22,080.24/x
  3. Step 3: Cross multiply
    38,844x = 53,604.72 × 22,080.24
  4. Step 4: Simplify right side
    38,844x = 1,183,605,082.73
  5. Step 5: Solve for x
    x = 1,183,605,082.73/38,844
  6. Step 6: Final answer
    x = 30,470.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.