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Finding the Fourth Proportional to 82,494, 113,871.24 and 48,960

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Solution

The fourth proportional to 82,494, 113,871.24 and 48,960 is: 67,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494 : 113,871.24 = 48,960 : x
  2. Step 2: Convert to fraction form
    82,494/113,871.24 = 48,960/x
  3. Step 3: Cross multiply
    82,494x = 113,871.24 × 48,960
  4. Step 4: Simplify right side
    82,494x = 5,575,135,910.40
  5. Step 5: Solve for x
    x = 5,575,135,910.40/82,494
  6. Step 6: Final answer
    x = 67,582.32

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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.