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Finding the Fourth Proportional to 54,059, 74,592.52 and 30,181.84

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Solution

The fourth proportional to 54,059, 74,592.52 and 30,181.84 is: 41,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,059 : 74,592.52 = 30,181.84 : x
  2. Step 2: Convert to fraction form
    54,059/74,592.52 = 30,181.84/x
  3. Step 3: Cross multiply
    54,059x = 74,592.52 × 30,181.84
  4. Step 4: Simplify right side
    54,059x = 2,251,339,503.84
  5. Step 5: Solve for x
    x = 2,251,339,503.84/54,059
  6. Step 6: Final answer
    x = 41,645.97

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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.