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Finding the Fourth Proportional to 50,216.25, 69,298.44 and 27,860.25

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Solution

The fourth proportional to 50,216.25, 69,298.44 and 27,860.25 is: 38,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,216.25 : 69,298.44 = 27,860.25 : x
  2. Step 2: Convert to fraction form
    50,216.25/69,298.44 = 27,860.25/x
  3. Step 3: Cross multiply
    50,216.25x = 69,298.44 × 27,860.25
  4. Step 4: Simplify right side
    50,216.25x = 1,930,671,863.01
  5. Step 5: Solve for x
    x = 1,930,671,863.01/50,216.25
  6. Step 6: Final answer
    x = 38,447.15

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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.