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Finding the Fourth Proportional to 33,219.36, 49,834.80 and 9,848.16

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Solution

The fourth proportional to 33,219.36, 49,834.80 and 9,848.16 is: 14,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.36 : 49,834.80 = 9,848.16 : x
  2. Step 2: Convert to fraction form
    33,219.36/49,834.80 = 9,848.16/x
  3. Step 3: Cross multiply
    33,219.36x = 49,834.80 × 9,848.16
  4. Step 4: Simplify right side
    33,219.36x = 490,781,083.97
  5. Step 5: Solve for x
    x = 490,781,083.97/33,219.36
  6. Step 6: Final answer
    x = 14,773.95

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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.