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Finding the Fourth Proportional to 33,460.50, 50,174.84 and 19,424.86

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Solution

The fourth proportional to 33,460.50, 50,174.84 and 19,424.86 is: 29,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,460.50 : 50,174.84 = 19,424.86 : x
  2. Step 2: Convert to fraction form
    33,460.50/50,174.84 = 19,424.86/x
  3. Step 3: Cross multiply
    33,460.50x = 50,174.84 × 19,424.86
  4. Step 4: Simplify right side
    33,460.50x = 974,639,242.52
  5. Step 5: Solve for x
    x = 974,639,242.52/33,460.50
  6. Step 6: Final answer
    x = 29,128.05

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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.