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Finding the Fourth Proportional to 33,136.68, 49,705.08 and 13,401.72

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Solution

The fourth proportional to 33,136.68, 49,705.08 and 13,401.72 is: 20,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.68 : 49,705.08 = 13,401.72 : x
  2. Step 2: Convert to fraction form
    33,136.68/49,705.08 = 13,401.72/x
  3. Step 3: Cross multiply
    33,136.68x = 49,705.08 × 13,401.72
  4. Step 4: Simplify right side
    33,136.68x = 666,133,564.74
  5. Step 5: Solve for x
    x = 666,133,564.74/33,136.68
  6. Step 6: Final answer
    x = 20,102.60

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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.