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Finding the Fourth Proportional to 72,083.87, 108,164.58 and 29,993

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Solution

The fourth proportional to 72,083.87, 108,164.58 and 29,993 is: 45,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,083.87 : 108,164.58 = 29,993 : x
  2. Step 2: Convert to fraction form
    72,083.87/108,164.58 = 29,993/x
  3. Step 3: Cross multiply
    72,083.87x = 108,164.58 × 29,993
  4. Step 4: Simplify right side
    72,083.87x = 3,244,180,247.94
  5. Step 5: Solve for x
    x = 3,244,180,247.94/72,083.87
  6. Step 6: Final answer
    x = 45,005.63

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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.