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Finding the Fourth Proportional to 75,852.17, 113,829.04 and 31,478.96

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Solution

The fourth proportional to 75,852.17, 113,829.04 and 31,478.96 is: 47,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,852.17 : 113,829.04 = 31,478.96 : x
  2. Step 2: Convert to fraction form
    75,852.17/113,829.04 = 31,478.96/x
  3. Step 3: Cross multiply
    75,852.17x = 113,829.04 × 31,478.96
  4. Step 4: Simplify right side
    75,852.17x = 3,583,219,797.00
  5. Step 5: Solve for x
    x = 3,583,219,797.00/75,852.17
  6. Step 6: Final answer
    x = 47,239.52

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