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Finding the Fourth Proportional to 31,690.56, 47,536.52 and 11,978.40

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Solution

The fourth proportional to 31,690.56, 47,536.52 and 11,978.40 is: 17,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.56 : 47,536.52 = 11,978.40 : x
  2. Step 2: Convert to fraction form
    31,690.56/47,536.52 = 11,978.40/x
  3. Step 3: Cross multiply
    31,690.56x = 47,536.52 × 11,978.40
  4. Step 4: Simplify right side
    31,690.56x = 569,411,451.17
  5. Step 5: Solve for x
    x = 569,411,451.17/31,690.56
  6. Step 6: Final answer
    x = 17,967.86

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