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Finding the Fourth Proportional to 31,159.24, 46,738.98 and 7,785.70

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Solution

The fourth proportional to 31,159.24, 46,738.98 and 7,785.70 is: 11,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.24 : 46,738.98 = 7,785.70 : x
  2. Step 2: Convert to fraction form
    31,159.24/46,738.98 = 7,785.70/x
  3. Step 3: Cross multiply
    31,159.24x = 46,738.98 × 7,785.70
  4. Step 4: Simplify right side
    31,159.24x = 363,895,676.59
  5. Step 5: Solve for x
    x = 363,895,676.59/31,159.24
  6. Step 6: Final answer
    x = 11,678.58

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