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Finding the Fourth Proportional to 52,577.49, 72,563.31 and 29,922

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Solution

The fourth proportional to 52,577.49, 72,563.31 and 29,922 is: 41,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,577.49 : 72,563.31 = 29,922 : x
  2. Step 2: Convert to fraction form
    52,577.49/72,563.31 = 29,922/x
  3. Step 3: Cross multiply
    52,577.49x = 72,563.31 × 29,922
  4. Step 4: Simplify right side
    52,577.49x = 2,171,239,361.82
  5. Step 5: Solve for x
    x = 2,171,239,361.82/52,577.49
  6. Step 6: Final answer
    x = 41,295.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.