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Finding the Fourth Proportional to 109,909.90, 164,846.40 and 31,005.64

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Solution

The fourth proportional to 109,909.90, 164,846.40 and 31,005.64 is: 46,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.90 : 164,846.40 = 31,005.64 : x
  2. Step 2: Convert to fraction form
    109,909.90/164,846.40 = 31,005.64/x
  3. Step 3: Cross multiply
    109,909.90x = 164,846.40 × 31,005.64
  4. Step 4: Simplify right side
    109,909.90x = 5,111,168,133.70
  5. Step 5: Solve for x
    x = 5,111,168,133.70/109,909.90
  6. Step 6: Final answer
    x = 46,503.26

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