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Finding the Fourth Proportional to 75,877.76, 113,838.60 and 31,496.24

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Solution

The fourth proportional to 75,877.76, 113,838.60 and 31,496.24 is: 47,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.76 : 113,838.60 = 31,496.24 : x
  2. Step 2: Convert to fraction form
    75,877.76/113,838.60 = 31,496.24/x
  3. Step 3: Cross multiply
    75,877.76x = 113,838.60 × 31,496.24
  4. Step 4: Simplify right side
    75,877.76x = 3,585,487,866.86
  5. Step 5: Solve for x
    x = 3,585,487,866.86/75,877.76
  6. Step 6: Final answer
    x = 47,253.48

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