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Finding the Fourth Proportional to 109,797.76, 164,696.64 and 50,616

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Solution

The fourth proportional to 109,797.76, 164,696.64 and 50,616 is: 75,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,797.76 : 164,696.64 = 50,616 : x
  2. Step 2: Convert to fraction form
    109,797.76/164,696.64 = 50,616/x
  3. Step 3: Cross multiply
    109,797.76x = 164,696.64 × 50,616
  4. Step 4: Simplify right side
    109,797.76x = 8,336,285,130.24
  5. Step 5: Solve for x
    x = 8,336,285,130.24/109,797.76
  6. Step 6: Final answer
    x = 75,924.00

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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.