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Finding the Fourth Proportional to 73,448, 101,358.24 and 39,914

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Solution

The fourth proportional to 73,448, 101,358.24 and 39,914 is: 55,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,448 : 101,358.24 = 39,914 : x
  2. Step 2: Convert to fraction form
    73,448/101,358.24 = 39,914/x
  3. Step 3: Cross multiply
    73,448x = 101,358.24 × 39,914
  4. Step 4: Simplify right side
    73,448x = 4,045,612,791.36
  5. Step 5: Solve for x
    x = 4,045,612,791.36/73,448
  6. Step 6: Final answer
    x = 55,081.32

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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.