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Finding the Fourth Proportional to 39,993.42, 55,193.22 and 24,083

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Solution

The fourth proportional to 39,993.42, 55,193.22 and 24,083 is: 33,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,993.42 : 55,193.22 = 24,083 : x
  2. Step 2: Convert to fraction form
    39,993.42/55,193.22 = 24,083/x
  3. Step 3: Cross multiply
    39,993.42x = 55,193.22 × 24,083
  4. Step 4: Simplify right side
    39,993.42x = 1,329,218,317.26
  5. Step 5: Solve for x
    x = 1,329,218,317.26/39,993.42
  6. Step 6: Final answer
    x = 33,235.93

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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.