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Finding the Fourth Proportional to 109,634, 164,477 and 35,762

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Solution

The fourth proportional to 109,634, 164,477 and 35,762 is: 53,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,634 : 164,477 = 35,762 : x
  2. Step 2: Convert to fraction form
    109,634/164,477 = 35,762/x
  3. Step 3: Cross multiply
    109,634x = 164,477 × 35,762
  4. Step 4: Simplify right side
    109,634x = 5,882,026,474
  5. Step 5: Solve for x
    x = 5,882,026,474/109,634
  6. Step 6: Final answer
    x = 53,651.48

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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.