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Finding the Fourth Proportional to 33,123.93, 49,670.29 and 9,745.71

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Solution

The fourth proportional to 33,123.93, 49,670.29 and 9,745.71 is: 14,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.93 : 49,670.29 = 9,745.71 : x
  2. Step 2: Convert to fraction form
    33,123.93/49,670.29 = 9,745.71/x
  3. Step 3: Cross multiply
    33,123.93x = 49,670.29 × 9,745.71
  4. Step 4: Simplify right side
    33,123.93x = 484,072,241.96
  5. Step 5: Solve for x
    x = 484,072,241.96/33,123.93
  6. Step 6: Final answer
    x = 14,613.97

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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.