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Finding the Fourth Proportional to 73,713.38, 101,724.75 and 41,884.02

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Solution

The fourth proportional to 73,713.38, 101,724.75 and 41,884.02 is: 57,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,713.38 : 101,724.75 = 41,884.02 : x
  2. Step 2: Convert to fraction form
    73,713.38/101,724.75 = 41,884.02/x
  3. Step 3: Cross multiply
    73,713.38x = 101,724.75 × 41,884.02
  4. Step 4: Simplify right side
    73,713.38x = 4,260,641,463.50
  5. Step 5: Solve for x
    x = 4,260,641,463.50/73,713.38
  6. Step 6: Final answer
    x = 57,800.11

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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.