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Finding the Fourth Proportional to 33,570.72, 46,323.84 and 20,142.54

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Solution

The fourth proportional to 33,570.72, 46,323.84 and 20,142.54 is: 27,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570.72 : 46,323.84 = 20,142.54 : x
  2. Step 2: Convert to fraction form
    33,570.72/46,323.84 = 20,142.54/x
  3. Step 3: Cross multiply
    33,570.72x = 46,323.84 × 20,142.54
  4. Step 4: Simplify right side
    33,570.72x = 933,079,800.15
  5. Step 5: Solve for x
    x = 933,079,800.15/33,570.72
  6. Step 6: Final answer
    x = 27,794.45

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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.