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Finding the Fourth Proportional to 30,071.78, 41,487.84 and 23,174.96

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Solution

The fourth proportional to 30,071.78, 41,487.84 and 23,174.96 is: 31,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.78 : 41,487.84 = 23,174.96 : x
  2. Step 2: Convert to fraction form
    30,071.78/41,487.84 = 23,174.96/x
  3. Step 3: Cross multiply
    30,071.78x = 41,487.84 × 23,174.96
  4. Step 4: Simplify right side
    30,071.78x = 961,478,825.05
  5. Step 5: Solve for x
    x = 961,478,825.05/30,071.78
  6. Step 6: Final answer
    x = 31,972.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.