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Finding the Fourth Proportional to 54,004.98, 74,523.33 and 33,861

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Solution

The fourth proportional to 54,004.98, 74,523.33 and 33,861 is: 46,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,004.98 : 74,523.33 = 33,861 : x
  2. Step 2: Convert to fraction form
    54,004.98/74,523.33 = 33,861/x
  3. Step 3: Cross multiply
    54,004.98x = 74,523.33 × 33,861
  4. Step 4: Simplify right side
    54,004.98x = 2,523,434,477.13
  5. Step 5: Solve for x
    x = 2,523,434,477.13/54,004.98
  6. Step 6: Final answer
    x = 46,725.96

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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.