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Finding the Fourth Proportional to 109,838.72, 164,660.64 and 53,648

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Solution

The fourth proportional to 109,838.72, 164,660.64 and 53,648 is: 80,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.72 : 164,660.64 = 53,648 : x
  2. Step 2: Convert to fraction form
    109,838.72/164,660.64 = 53,648/x
  3. Step 3: Cross multiply
    109,838.72x = 164,660.64 × 53,648
  4. Step 4: Simplify right side
    109,838.72x = 8,833,714,014.72
  5. Step 5: Solve for x
    x = 8,833,714,014.72/109,838.72
  6. Step 6: Final answer
    x = 80,424.41

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