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Finding the Fourth Proportional to 73,924.51, 102,015.86 and 39,933

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Solution

The fourth proportional to 73,924.51, 102,015.86 and 39,933 is: 55,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924.51 : 102,015.86 = 39,933 : x
  2. Step 2: Convert to fraction form
    73,924.51/102,015.86 = 39,933/x
  3. Step 3: Cross multiply
    73,924.51x = 102,015.86 × 39,933
  4. Step 4: Simplify right side
    73,924.51x = 4,073,799,337.38
  5. Step 5: Solve for x
    x = 4,073,799,337.38/73,924.51
  6. Step 6: Final answer
    x = 55,107.56

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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.