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Finding the Fourth Proportional to 33,219.36, 49,829.58 and 9,845.46

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Solution

The fourth proportional to 33,219.36, 49,829.58 and 9,845.46 is: 14,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.36 : 49,829.58 = 9,845.46 : x
  2. Step 2: Convert to fraction form
    33,219.36/49,829.58 = 9,845.46/x
  3. Step 3: Cross multiply
    33,219.36x = 49,829.58 × 9,845.46
  4. Step 4: Simplify right side
    33,219.36x = 490,595,136.71
  5. Step 5: Solve for x
    x = 490,595,136.71/33,219.36
  6. Step 6: Final answer
    x = 14,768.35

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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.