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Finding the Fourth Proportional to 60,782, 91,216.20 and 23,846

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Solution

The fourth proportional to 60,782, 91,216.20 and 23,846 is: 35,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,782 : 91,216.20 = 23,846 : x
  2. Step 2: Convert to fraction form
    60,782/91,216.20 = 23,846/x
  3. Step 3: Cross multiply
    60,782x = 91,216.20 × 23,846
  4. Step 4: Simplify right side
    60,782x = 2,175,141,505.20
  5. Step 5: Solve for x
    x = 2,175,141,505.20/60,782
  6. Step 6: Final answer
    x = 35,785.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.