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Finding the Fourth Proportional to 82,086.42, 113,274.38 and 47,628.50

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Solution

The fourth proportional to 82,086.42, 113,274.38 and 47,628.50 is: 65,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,086.42 : 113,274.38 = 47,628.50 : x
  2. Step 2: Convert to fraction form
    82,086.42/113,274.38 = 47,628.50/x
  3. Step 3: Cross multiply
    82,086.42x = 113,274.38 × 47,628.50
  4. Step 4: Simplify right side
    82,086.42x = 5,395,088,360.53
  5. Step 5: Solve for x
    x = 5,395,088,360.53/82,086.42
  6. Step 6: Final answer
    x = 65,724.49

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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.