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Finding the Fourth Proportional to 50,386.89, 69,534.54 and 27,728.49

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Solution

The fourth proportional to 50,386.89, 69,534.54 and 27,728.49 is: 38,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386.89 : 69,534.54 = 27,728.49 : x
  2. Step 2: Convert to fraction form
    50,386.89/69,534.54 = 27,728.49/x
  3. Step 3: Cross multiply
    50,386.89x = 69,534.54 × 27,728.49
  4. Step 4: Simplify right side
    50,386.89x = 1,928,087,797.04
  5. Step 5: Solve for x
    x = 1,928,087,797.04/50,386.89
  6. Step 6: Final answer
    x = 38,265.66

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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.