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Finding the Fourth Proportional to 50,400.33, 69,551.16 and 27,738.45

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Solution

The fourth proportional to 50,400.33, 69,551.16 and 27,738.45 is: 38,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,400.33 : 69,551.16 = 27,738.45 : x
  2. Step 2: Convert to fraction form
    50,400.33/69,551.16 = 27,738.45/x
  3. Step 3: Cross multiply
    50,400.33x = 69,551.16 × 27,738.45
  4. Step 4: Simplify right side
    50,400.33x = 1,929,241,270.08
  5. Step 5: Solve for x
    x = 1,929,241,270.08/50,400.33
  6. Step 6: Final answer
    x = 38,278.35

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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.