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Finding the Fourth Proportional to 89,908.24, 124,120 and 65,682

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Solution

The fourth proportional to 89,908.24, 124,120 and 65,682 is: 90,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,908.24 : 124,120 = 65,682 : x
  2. Step 2: Convert to fraction form
    89,908.24/124,120 = 65,682/x
  3. Step 3: Cross multiply
    89,908.24x = 124,120 × 65,682
  4. Step 4: Simplify right side
    89,908.24x = 8,152,449,840
  5. Step 5: Solve for x
    x = 8,152,449,840/89,908.24
  6. Step 6: Final answer
    x = 90,675.22

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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.