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Finding the Fourth Proportional to 33,146.84, 49,720.54 and 9,454.34

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Solution

The fourth proportional to 33,146.84, 49,720.54 and 9,454.34 is: 14,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.84 : 49,720.54 = 9,454.34 : x
  2. Step 2: Convert to fraction form
    33,146.84/49,720.54 = 9,454.34/x
  3. Step 3: Cross multiply
    33,146.84x = 49,720.54 × 9,454.34
  4. Step 4: Simplify right side
    33,146.84x = 470,074,890.14
  5. Step 5: Solve for x
    x = 470,074,890.14/33,146.84
  6. Step 6: Final answer
    x = 14,181.59

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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.