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Finding the Fourth Proportional to 82,374.33, 113,688.72 and 52,162.41

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Solution

The fourth proportional to 82,374.33, 113,688.72 and 52,162.41 is: 71,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.33 : 113,688.72 = 52,162.41 : x
  2. Step 2: Convert to fraction form
    82,374.33/113,688.72 = 52,162.41/x
  3. Step 3: Cross multiply
    82,374.33x = 113,688.72 × 52,162.41
  4. Step 4: Simplify right side
    82,374.33x = 5,930,277,625.02
  5. Step 5: Solve for x
    x = 5,930,277,625.02/82,374.33
  6. Step 6: Final answer
    x = 71,991.82

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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.