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Finding the Fourth Proportional to 33,197.90, 49,792.75 and 13,457.49

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Solution

The fourth proportional to 33,197.90, 49,792.75 and 13,457.49 is: 20,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.90 : 49,792.75 = 13,457.49 : x
  2. Step 2: Convert to fraction form
    33,197.90/49,792.75 = 13,457.49/x
  3. Step 3: Cross multiply
    33,197.90x = 49,792.75 × 13,457.49
  4. Step 4: Simplify right side
    33,197.90x = 670,085,401.55
  5. Step 5: Solve for x
    x = 670,085,401.55/33,197.90
  6. Step 6: Final answer
    x = 20,184.57

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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.