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Finding the Fourth Proportional to 33,176.40, 49,778.04 and 13,449.84

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Solution

The fourth proportional to 33,176.40, 49,778.04 and 13,449.84 is: 20,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.40 : 49,778.04 = 13,449.84 : x
  2. Step 2: Convert to fraction form
    33,176.40/49,778.04 = 13,449.84/x
  3. Step 3: Cross multiply
    33,176.40x = 49,778.04 × 13,449.84
  4. Step 4: Simplify right side
    33,176.40x = 669,506,673.51
  5. Step 5: Solve for x
    x = 669,506,673.51/33,176.40
  6. Step 6: Final answer
    x = 20,180.21

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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.