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Finding the Fourth Proportional to 50,534.66, 69,738.16 and 27,874.26

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Solution

The fourth proportional to 50,534.66, 69,738.16 and 27,874.26 is: 38,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534.66 : 69,738.16 = 27,874.26 : x
  2. Step 2: Convert to fraction form
    50,534.66/69,738.16 = 27,874.26/x
  3. Step 3: Cross multiply
    50,534.66x = 69,738.16 × 27,874.26
  4. Step 4: Simplify right side
    50,534.66x = 1,943,899,603.76
  5. Step 5: Solve for x
    x = 1,943,899,603.76/50,534.66
  6. Step 6: Final answer
    x = 38,466.66

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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.