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Finding the Fourth Proportional to 31,159.05, 46,738.58 and 7,785.49

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Solution

The fourth proportional to 31,159.05, 46,738.58 and 7,785.49 is: 11,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.05 : 46,738.58 = 7,785.49 : x
  2. Step 2: Convert to fraction form
    31,159.05/46,738.58 = 7,785.49/x
  3. Step 3: Cross multiply
    31,159.05x = 46,738.58 × 7,785.49
  4. Step 4: Simplify right side
    31,159.05x = 363,882,865.26
  5. Step 5: Solve for x
    x = 363,882,865.26/31,159.05
  6. Step 6: Final answer
    x = 11,678.24

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