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Finding the Fourth Proportional to 75,971.74, 113,957.69 and 19,811.80

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Solution

The fourth proportional to 75,971.74, 113,957.69 and 19,811.80 is: 29,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,971.74 : 113,957.69 = 19,811.80 : x
  2. Step 2: Convert to fraction form
    75,971.74/113,957.69 = 19,811.80/x
  3. Step 3: Cross multiply
    75,971.74x = 113,957.69 × 19,811.80
  4. Step 4: Simplify right side
    75,971.74x = 2,257,706,293.89
  5. Step 5: Solve for x
    x = 2,257,706,293.89/75,971.74
  6. Step 6: Final answer
    x = 29,717.71

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