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Finding the Fourth Proportional to 50,643.51, 75,965.30 and 13,203.49

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Solution

The fourth proportional to 50,643.51, 75,965.30 and 13,203.49 is: 19,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.51 : 75,965.30 = 13,203.49 : x
  2. Step 2: Convert to fraction form
    50,643.51/75,965.30 = 13,203.49/x
  3. Step 3: Cross multiply
    50,643.51x = 75,965.30 × 13,203.49
  4. Step 4: Simplify right side
    50,643.51x = 1,003,007,078.90
  5. Step 5: Solve for x
    x = 1,003,007,078.90/50,643.51
  6. Step 6: Final answer
    x = 19,805.24

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