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Finding the Fourth Proportional to 82,107.68, 113,153.76 and 59,408.24

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Solution

The fourth proportional to 82,107.68, 113,153.76 and 59,408.24 is: 81,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.68 : 113,153.76 = 59,408.24 : x
  2. Step 2: Convert to fraction form
    82,107.68/113,153.76 = 59,408.24/x
  3. Step 3: Cross multiply
    82,107.68x = 113,153.76 × 59,408.24
  4. Step 4: Simplify right side
    82,107.68x = 6,722,265,165.21
  5. Step 5: Solve for x
    x = 6,722,265,165.21/82,107.68
  6. Step 6: Final answer
    x = 81,871.34

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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.