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Finding the Fourth Proportional to 31,782.65, 47,614.98 and 22,758.13

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Solution

The fourth proportional to 31,782.65, 47,614.98 and 22,758.13 is: 34,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.65 : 47,614.98 = 22,758.13 : x
  2. Step 2: Convert to fraction form
    31,782.65/47,614.98 = 22,758.13/x
  3. Step 3: Cross multiply
    31,782.65x = 47,614.98 × 22,758.13
  4. Step 4: Simplify right side
    31,782.65x = 1,083,628,109.17
  5. Step 5: Solve for x
    x = 1,083,628,109.17/31,782.65
  6. Step 6: Final answer
    x = 34,094.96

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