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Finding the Fourth Proportional to 82,011.90, 113,243.49 and 51,845.88

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Solution

The fourth proportional to 82,011.90, 113,243.49 and 51,845.88 is: 71,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.90 : 113,243.49 = 51,845.88 : x
  2. Step 2: Convert to fraction form
    82,011.90/113,243.49 = 51,845.88/x
  3. Step 3: Cross multiply
    82,011.90x = 113,243.49 × 51,845.88
  4. Step 4: Simplify right side
    82,011.90x = 5,871,208,393.32
  5. Step 5: Solve for x
    x = 5,871,208,393.32/82,011.90
  6. Step 6: Final answer
    x = 71,589.71

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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.