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Finding the Fourth Proportional to 50,506.28, 69,699.17 and 27,846.16

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Solution

The fourth proportional to 50,506.28, 69,699.17 and 27,846.16 is: 38,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.28 : 69,699.17 = 27,846.16 : x
  2. Step 2: Convert to fraction form
    50,506.28/69,699.17 = 27,846.16/x
  3. Step 3: Cross multiply
    50,506.28x = 69,699.17 × 27,846.16
  4. Step 4: Simplify right side
    50,506.28x = 1,940,854,370.48
  5. Step 5: Solve for x
    x = 1,940,854,370.48/50,506.28
  6. Step 6: Final answer
    x = 38,427.98

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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.