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Finding the Fourth Proportional to 31,158.74, 46,738.23 and 7,785.20

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Solution

The fourth proportional to 31,158.74, 46,738.23 and 7,785.20 is: 11,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.74 : 46,738.23 = 7,785.20 : x
  2. Step 2: Convert to fraction form
    31,158.74/46,738.23 = 7,785.20/x
  3. Step 3: Cross multiply
    31,158.74x = 46,738.23 × 7,785.20
  4. Step 4: Simplify right side
    31,158.74x = 363,866,468.20
  5. Step 5: Solve for x
    x = 363,866,468.20/31,158.74
  6. Step 6: Final answer
    x = 11,677.83

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