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Finding the Fourth Proportional to 59,142.32, 81,638.56 and 36,782

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Solution

The fourth proportional to 59,142.32, 81,638.56 and 36,782 is: 50,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,142.32 : 81,638.56 = 36,782 : x
  2. Step 2: Convert to fraction form
    59,142.32/81,638.56 = 36,782/x
  3. Step 3: Cross multiply
    59,142.32x = 81,638.56 × 36,782
  4. Step 4: Simplify right side
    59,142.32x = 3,002,829,513.92
  5. Step 5: Solve for x
    x = 3,002,829,513.92/59,142.32
  6. Step 6: Final answer
    x = 50,772.94

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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.