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Finding the Fourth Proportional to 50,643.73, 75,965.61 and 13,203.71

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Solution

The fourth proportional to 50,643.73, 75,965.61 and 13,203.71 is: 19,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.73 : 75,965.61 = 13,203.71 : x
  2. Step 2: Convert to fraction form
    50,643.73/75,965.61 = 13,203.71/x
  3. Step 3: Cross multiply
    50,643.73x = 75,965.61 × 13,203.71
  4. Step 4: Simplify right side
    50,643.73x = 1,003,027,838.97
  5. Step 5: Solve for x
    x = 1,003,027,838.97/50,643.73
  6. Step 6: Final answer
    x = 19,805.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.