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Finding the Fourth Proportional to 83,092.40, 124,615.56 and 23,912

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Solution

The fourth proportional to 83,092.40, 124,615.56 and 23,912 is: 35,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,092.40 : 124,615.56 = 23,912 : x
  2. Step 2: Convert to fraction form
    83,092.40/124,615.56 = 23,912/x
  3. Step 3: Cross multiply
    83,092.40x = 124,615.56 × 23,912
  4. Step 4: Simplify right side
    83,092.40x = 2,979,807,270.72
  5. Step 5: Solve for x
    x = 2,979,807,270.72/83,092.40
  6. Step 6: Final answer
    x = 35,861.37

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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.