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Finding the Fourth Proportional to 33,175.81, 49,763.40 and 13,449.68

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Solution

The fourth proportional to 33,175.81, 49,763.40 and 13,449.68 is: 20,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175.81 : 49,763.40 = 13,449.68 : x
  2. Step 2: Convert to fraction form
    33,175.81/49,763.40 = 13,449.68/x
  3. Step 3: Cross multiply
    33,175.81x = 49,763.40 × 13,449.68
  4. Step 4: Simplify right side
    33,175.81x = 669,301,805.71
  5. Step 5: Solve for x
    x = 669,301,805.71/33,175.81
  6. Step 6: Final answer
    x = 20,174.39

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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.