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Finding the Fourth Proportional to 50,032.51, 75,074.63 and 21,972.28

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Solution

The fourth proportional to 50,032.51, 75,074.63 and 21,972.28 is: 32,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,032.51 : 75,074.63 = 21,972.28 : x
  2. Step 2: Convert to fraction form
    50,032.51/75,074.63 = 21,972.28/x
  3. Step 3: Cross multiply
    50,032.51x = 75,074.63 × 21,972.28
  4. Step 4: Simplify right side
    50,032.51x = 1,649,560,791.26
  5. Step 5: Solve for x
    x = 1,649,560,791.26/50,032.51
  6. Step 6: Final answer
    x = 32,969.78

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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.