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Finding the Fourth Proportional to 100,414.54, 138,573.48 and 55,091.70

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Solution

The fourth proportional to 100,414.54, 138,573.48 and 55,091.70 is: 76,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.54 : 138,573.48 = 55,091.70 : x
  2. Step 2: Convert to fraction form
    100,414.54/138,573.48 = 55,091.70/x
  3. Step 3: Cross multiply
    100,414.54x = 138,573.48 × 55,091.70
  4. Step 4: Simplify right side
    100,414.54x = 7,634,248,588.12
  5. Step 5: Solve for x
    x = 7,634,248,588.12/100,414.54
  6. Step 6: Final answer
    x = 76,027.32

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