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Finding the Fourth Proportional to 33,492.96, 50,276.34 and 19,468.80

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Solution

The fourth proportional to 33,492.96, 50,276.34 and 19,468.80 is: 29,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492.96 : 50,276.34 = 19,468.80 : x
  2. Step 2: Convert to fraction form
    33,492.96/50,276.34 = 19,468.80/x
  3. Step 3: Cross multiply
    33,492.96x = 50,276.34 × 19,468.80
  4. Step 4: Simplify right side
    33,492.96x = 978,820,008.19
  5. Step 5: Solve for x
    x = 978,820,008.19/33,492.96
  6. Step 6: Final answer
    x = 29,224.65

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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.