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Finding the Fourth Proportional to 52,015.98, 71,782.73 and 29,356.23

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Solution

The fourth proportional to 52,015.98, 71,782.73 and 29,356.23 is: 40,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.98 : 71,782.73 = 29,356.23 : x
  2. Step 2: Convert to fraction form
    52,015.98/71,782.73 = 29,356.23/x
  3. Step 3: Cross multiply
    52,015.98x = 71,782.73 × 29,356.23
  4. Step 4: Simplify right side
    52,015.98x = 2,107,270,331.91
  5. Step 5: Solve for x
    x = 2,107,270,331.91/52,015.98
  6. Step 6: Final answer
    x = 40,511.98

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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.