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Finding the Fourth Proportional to 33,378.50, 46,057.74 and 19,946.90

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Solution

The fourth proportional to 33,378.50, 46,057.74 and 19,946.90 is: 27,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.50 : 46,057.74 = 19,946.90 : x
  2. Step 2: Convert to fraction form
    33,378.50/46,057.74 = 19,946.90/x
  3. Step 3: Cross multiply
    33,378.50x = 46,057.74 × 19,946.90
  4. Step 4: Simplify right side
    33,378.50x = 918,709,134.01
  5. Step 5: Solve for x
    x = 918,709,134.01/33,378.50
  6. Step 6: Final answer
    x = 27,523.98

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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.