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Finding the Fourth Proportional to 102,381.78, 153,573.02 and 31,304.15

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Solution

The fourth proportional to 102,381.78, 153,573.02 and 31,304.15 is: 46,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381.78 : 153,573.02 = 31,304.15 : x
  2. Step 2: Convert to fraction form
    102,381.78/153,573.02 = 31,304.15/x
  3. Step 3: Cross multiply
    102,381.78x = 153,573.02 × 31,304.15
  4. Step 4: Simplify right side
    102,381.78x = 4,807,472,697.51
  5. Step 5: Solve for x
    x = 4,807,472,697.51/102,381.78
  6. Step 6: Final answer
    x = 46,956.33

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