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Finding the Fourth Proportional to 33,065.27, 49,598.30 and 9,692.18

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Solution

The fourth proportional to 33,065.27, 49,598.30 and 9,692.18 is: 14,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065.27 : 49,598.30 = 9,692.18 : x
  2. Step 2: Convert to fraction form
    33,065.27/49,598.30 = 9,692.18/x
  3. Step 3: Cross multiply
    33,065.27x = 49,598.30 × 9,692.18
  4. Step 4: Simplify right side
    33,065.27x = 480,715,427.53
  5. Step 5: Solve for x
    x = 480,715,427.53/33,065.27
  6. Step 6: Final answer
    x = 14,538.38

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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.