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Finding the Fourth Proportional to 83,076.53, 114,795.50 and 59,161.68

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Solution

The fourth proportional to 83,076.53, 114,795.50 and 59,161.68 is: 81,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.53 : 114,795.50 = 59,161.68 : x
  2. Step 2: Convert to fraction form
    83,076.53/114,795.50 = 59,161.68/x
  3. Step 3: Cross multiply
    83,076.53x = 114,795.50 × 59,161.68
  4. Step 4: Simplify right side
    83,076.53x = 6,791,494,340.63
  5. Step 5: Solve for x
    x = 6,791,494,340.63/83,076.53
  6. Step 6: Final answer
    x = 81,749.86

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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.