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Finding the Fourth Proportional to 38,046, 57,094.92 and 13,422

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Solution

The fourth proportional to 38,046, 57,094.92 and 13,422 is: 20,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046 : 57,094.92 = 13,422 : x
  2. Step 2: Convert to fraction form
    38,046/57,094.92 = 13,422/x
  3. Step 3: Cross multiply
    38,046x = 57,094.92 × 13,422
  4. Step 4: Simplify right side
    38,046x = 766,328,016.24
  5. Step 5: Solve for x
    x = 766,328,016.24/38,046
  6. Step 6: Final answer
    x = 20,142.14

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