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Finding the Fourth Proportional to 50,083.68, 69,115.32 and 27,727.68

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Solution

The fourth proportional to 50,083.68, 69,115.32 and 27,727.68 is: 38,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,083.68 : 69,115.32 = 27,727.68 : x
  2. Step 2: Convert to fraction form
    50,083.68/69,115.32 = 27,727.68/x
  3. Step 3: Cross multiply
    50,083.68x = 69,115.32 × 27,727.68
  4. Step 4: Simplify right side
    50,083.68x = 1,916,407,476.06
  5. Step 5: Solve for x
    x = 1,916,407,476.06/50,083.68
  6. Step 6: Final answer
    x = 38,264.11

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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.