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Finding the Fourth Proportional to 102,405.84, 153,677.92 and 35,846.48

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Solution

The fourth proportional to 102,405.84, 153,677.92 and 35,846.48 is: 53,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.84 : 153,677.92 = 35,846.48 : x
  2. Step 2: Convert to fraction form
    102,405.84/153,677.92 = 35,846.48/x
  3. Step 3: Cross multiply
    102,405.84x = 153,677.92 × 35,846.48
  4. Step 4: Simplify right side
    102,405.84x = 5,508,812,485.72
  5. Step 5: Solve for x
    x = 5,508,812,485.72/102,405.84
  6. Step 6: Final answer
    x = 53,793.93

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