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Finding the Fourth Proportional to 33,542.50, 46,288.66 and 18,638.50

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Solution

The fourth proportional to 33,542.50, 46,288.66 and 18,638.50 is: 25,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.50 : 46,288.66 = 18,638.50 : x
  2. Step 2: Convert to fraction form
    33,542.50/46,288.66 = 18,638.50/x
  3. Step 3: Cross multiply
    33,542.50x = 46,288.66 × 18,638.50
  4. Step 4: Simplify right side
    33,542.50x = 862,751,189.41
  5. Step 5: Solve for x
    x = 862,751,189.41/33,542.50
  6. Step 6: Final answer
    x = 25,721.14

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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.