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Finding the Fourth Proportional to 100,414.01, 138,571.83 and 55,096.13

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Solution

The fourth proportional to 100,414.01, 138,571.83 and 55,096.13 is: 76,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.01 : 138,571.83 = 55,096.13 : x
  2. Step 2: Convert to fraction form
    100,414.01/138,571.83 = 55,096.13/x
  3. Step 3: Cross multiply
    100,414.01x = 138,571.83 × 55,096.13
  4. Step 4: Simplify right side
    100,414.01x = 7,634,770,867.16
  5. Step 5: Solve for x
    x = 7,634,770,867.16/100,414.01
  6. Step 6: Final answer
    x = 76,032.93

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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.