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Finding the Fourth Proportional to 49,410.69, 74,119.50 and 19,828.55

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Solution

The fourth proportional to 49,410.69, 74,119.50 and 19,828.55 is: 29,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410.69 : 74,119.50 = 19,828.55 : x
  2. Step 2: Convert to fraction form
    49,410.69/74,119.50 = 19,828.55/x
  3. Step 3: Cross multiply
    49,410.69x = 74,119.50 × 19,828.55
  4. Step 4: Simplify right side
    49,410.69x = 1,469,681,841.13
  5. Step 5: Solve for x
    x = 1,469,681,841.13/49,410.69
  6. Step 6: Final answer
    x = 29,744.21

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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.