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Finding the Fourth Proportional to 83,086.54, 114,672.59 and 52,840.33

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Solution

The fourth proportional to 83,086.54, 114,672.59 and 52,840.33 is: 72,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086.54 : 114,672.59 = 52,840.33 : x
  2. Step 2: Convert to fraction form
    83,086.54/114,672.59 = 52,840.33/x
  3. Step 3: Cross multiply
    83,086.54x = 114,672.59 × 52,840.33
  4. Step 4: Simplify right side
    83,086.54x = 6,059,337,497.55
  5. Step 5: Solve for x
    x = 6,059,337,497.55/83,086.54
  6. Step 6: Final answer
    x = 72,928.03

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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.