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Finding the Fourth Proportional to 31,992.64, 47,988.96 and 16,400.32

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Solution

The fourth proportional to 31,992.64, 47,988.96 and 16,400.32 is: 24,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.64 : 47,988.96 = 16,400.32 : x
  2. Step 2: Convert to fraction form
    31,992.64/47,988.96 = 16,400.32/x
  3. Step 3: Cross multiply
    31,992.64x = 47,988.96 × 16,400.32
  4. Step 4: Simplify right side
    31,992.64x = 787,034,300.47
  5. Step 5: Solve for x
    x = 787,034,300.47/31,992.64
  6. Step 6: Final answer
    x = 24,600.48

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