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Finding the Fourth Proportional to 102,100.64, 153,150.86 and 31,985.44

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Solution

The fourth proportional to 102,100.64, 153,150.86 and 31,985.44 is: 47,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.64 : 153,150.86 = 31,985.44 : x
  2. Step 2: Convert to fraction form
    102,100.64/153,150.86 = 31,985.44/x
  3. Step 3: Cross multiply
    102,100.64x = 153,150.86 × 31,985.44
  4. Step 4: Simplify right side
    102,100.64x = 4,898,597,643.48
  5. Step 5: Solve for x
    x = 4,898,597,643.48/102,100.64
  6. Step 6: Final answer
    x = 47,978.13

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