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Finding the Fourth Proportional to 38,912.01, 53,698.79 and 22,145.01

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Solution

The fourth proportional to 38,912.01, 53,698.79 and 22,145.01 is: 30,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912.01 : 53,698.79 = 22,145.01 : x
  2. Step 2: Convert to fraction form
    38,912.01/53,698.79 = 22,145.01/x
  3. Step 3: Cross multiply
    38,912.01x = 53,698.79 × 22,145.01
  4. Step 4: Simplify right side
    38,912.01x = 1,189,160,241.54
  5. Step 5: Solve for x
    x = 1,189,160,241.54/38,912.01
  6. Step 6: Final answer
    x = 30,560.24

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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.