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Finding the Fourth Proportional to 33,202.36, 49,808.40 and 12,421

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Solution

The fourth proportional to 33,202.36, 49,808.40 and 12,421 is: 18,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.36 : 49,808.40 = 12,421 : x
  2. Step 2: Convert to fraction form
    33,202.36/49,808.40 = 12,421/x
  3. Step 3: Cross multiply
    33,202.36x = 49,808.40 × 12,421
  4. Step 4: Simplify right side
    33,202.36x = 618,670,136.40
  5. Step 5: Solve for x
    x = 618,670,136.40/33,202.36
  6. Step 6: Final answer
    x = 18,633.32

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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.