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Finding the Fourth Proportional to 83,092.96, 114,549.20 and 51,240.48

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Solution

The fourth proportional to 83,092.96, 114,549.20 and 51,240.48 is: 70,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,092.96 : 114,549.20 = 51,240.48 : x
  2. Step 2: Convert to fraction form
    83,092.96/114,549.20 = 51,240.48/x
  3. Step 3: Cross multiply
    83,092.96x = 114,549.20 × 51,240.48
  4. Step 4: Simplify right side
    83,092.96x = 5,869,555,991.62
  5. Step 5: Solve for x
    x = 5,869,555,991.62/83,092.96
  6. Step 6: Final answer
    x = 70,638.43

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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.