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Finding the Fourth Proportional to 102,095.64, 153,143.37 and 31,980.42

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Solution

The fourth proportional to 102,095.64, 153,143.37 and 31,980.42 is: 47,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,095.64 : 153,143.37 = 31,980.42 : x
  2. Step 2: Convert to fraction form
    102,095.64/153,143.37 = 31,980.42/x
  3. Step 3: Cross multiply
    102,095.64x = 153,143.37 × 31,980.42
  4. Step 4: Simplify right side
    102,095.64x = 4,897,589,292.82
  5. Step 5: Solve for x
    x = 4,897,589,292.82/102,095.64
  6. Step 6: Final answer
    x = 47,970.60

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