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Finding the Fourth Proportional to 54,100.32, 74,658.81 and 30,228

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Solution

The fourth proportional to 54,100.32, 74,658.81 and 30,228 is: 41,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,100.32 : 74,658.81 = 30,228 : x
  2. Step 2: Convert to fraction form
    54,100.32/74,658.81 = 30,228/x
  3. Step 3: Cross multiply
    54,100.32x = 74,658.81 × 30,228
  4. Step 4: Simplify right side
    54,100.32x = 2,256,786,508.68
  5. Step 5: Solve for x
    x = 2,256,786,508.68/54,100.32
  6. Step 6: Final answer
    x = 41,714.85

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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.