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Finding the Fourth Proportional to 75,820.40, 113,759.92 and 31,435.76

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Solution

The fourth proportional to 75,820.40, 113,759.92 and 31,435.76 is: 47,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820.40 : 113,759.92 = 31,435.76 : x
  2. Step 2: Convert to fraction form
    75,820.40/113,759.92 = 31,435.76/x
  3. Step 3: Cross multiply
    75,820.40x = 113,759.92 × 31,435.76
  4. Step 4: Simplify right side
    75,820.40x = 3,576,129,542.74
  5. Step 5: Solve for x
    x = 3,576,129,542.74/75,820.40
  6. Step 6: Final answer
    x = 47,165.80

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