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Finding the Fourth Proportional to 82,852.37, 114,344.22 and 51,039.89

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Solution

The fourth proportional to 82,852.37, 114,344.22 and 51,039.89 is: 70,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.37 : 114,344.22 = 51,039.89 : x
  2. Step 2: Convert to fraction form
    82,852.37/114,344.22 = 51,039.89/x
  3. Step 3: Cross multiply
    82,852.37x = 114,344.22 × 51,039.89
  4. Step 4: Simplify right side
    82,852.37x = 5,836,115,839.21
  5. Step 5: Solve for x
    x = 5,836,115,839.21/82,852.37
  6. Step 6: Final answer
    x = 70,439.94

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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.