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Finding the Fourth Proportional to 82,374.84, 113,689.42 and 52,162.92

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Solution

The fourth proportional to 82,374.84, 113,689.42 and 52,162.92 is: 71,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.84 : 113,689.42 = 52,162.92 : x
  2. Step 2: Convert to fraction form
    82,374.84/113,689.42 = 52,162.92/x
  3. Step 3: Cross multiply
    82,374.84x = 113,689.42 × 52,162.92
  4. Step 4: Simplify right side
    82,374.84x = 5,930,372,120.31
  5. Step 5: Solve for x
    x = 5,930,372,120.31/82,374.84
  6. Step 6: Final answer
    x = 71,992.52

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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.