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Finding the Fourth Proportional to 33,497.76, 50,180.95 and 19,428.23

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Solution

The fourth proportional to 33,497.76, 50,180.95 and 19,428.23 is: 29,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.76 : 50,180.95 = 19,428.23 : x
  2. Step 2: Convert to fraction form
    33,497.76/50,180.95 = 19,428.23/x
  3. Step 3: Cross multiply
    33,497.76x = 50,180.95 × 19,428.23
  4. Step 4: Simplify right side
    33,497.76x = 974,926,832.83
  5. Step 5: Solve for x
    x = 974,926,832.83/33,497.76
  6. Step 6: Final answer
    x = 29,104.24

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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.