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Finding the Fourth Proportional to 33,790.50, 50,685.93 and 9,166.50

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Solution

The fourth proportional to 33,790.50, 50,685.93 and 9,166.50 is: 13,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,790.50 : 50,685.93 = 9,166.50 : x
  2. Step 2: Convert to fraction form
    33,790.50/50,685.93 = 9,166.50/x
  3. Step 3: Cross multiply
    33,790.50x = 50,685.93 × 9,166.50
  4. Step 4: Simplify right side
    33,790.50x = 464,612,577.35
  5. Step 5: Solve for x
    x = 464,612,577.35/33,790.50
  6. Step 6: Final answer
    x = 13,749.80

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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.