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Finding the Fourth Proportional to 109,970.10, 164,938.95 and 31,092.30

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Solution

The fourth proportional to 109,970.10, 164,938.95 and 31,092.30 is: 46,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.10 : 164,938.95 = 31,092.30 : x
  2. Step 2: Convert to fraction form
    109,970.10/164,938.95 = 31,092.30/x
  3. Step 3: Cross multiply
    109,970.10x = 164,938.95 × 31,092.30
  4. Step 4: Simplify right side
    109,970.10x = 5,128,331,315.09
  5. Step 5: Solve for x
    x = 5,128,331,315.09/109,970.10
  6. Step 6: Final answer
    x = 46,633.87

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