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Finding the Fourth Proportional to 54,354.46, 74,977.38 and 34,179.40

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Solution

The fourth proportional to 54,354.46, 74,977.38 and 34,179.40 is: 47,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,354.46 : 74,977.38 = 34,179.40 : x
  2. Step 2: Convert to fraction form
    54,354.46/74,977.38 = 34,179.40/x
  3. Step 3: Cross multiply
    54,354.46x = 74,977.38 × 34,179.40
  4. Step 4: Simplify right side
    54,354.46x = 2,562,681,861.97
  5. Step 5: Solve for x
    x = 2,562,681,861.97/54,354.46
  6. Step 6: Final answer
    x = 47,147.59

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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.