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Finding the Fourth Proportional to 120,470.49, 180,714.61 and 31,723.38

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Solution

The fourth proportional to 120,470.49, 180,714.61 and 31,723.38 is: 47,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,470.49 : 180,714.61 = 31,723.38 : x
  2. Step 2: Convert to fraction form
    120,470.49/180,714.61 = 31,723.38/x
  3. Step 3: Cross multiply
    120,470.49x = 180,714.61 × 31,723.38
  4. Step 4: Simplify right side
    120,470.49x = 5,732,878,244.58
  5. Step 5: Solve for x
    x = 5,732,878,244.58/120,470.49
  6. Step 6: Final answer
    x = 47,587.41

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