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Finding the Fourth Proportional to 90,562.16, 135,809.64 and 31,382

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Solution

The fourth proportional to 90,562.16, 135,809.64 and 31,382 is: 47,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,562.16 : 135,809.64 = 31,382 : x
  2. Step 2: Convert to fraction form
    90,562.16/135,809.64 = 31,382/x
  3. Step 3: Cross multiply
    90,562.16x = 135,809.64 × 31,382
  4. Step 4: Simplify right side
    90,562.16x = 4,261,978,122.48
  5. Step 5: Solve for x
    x = 4,261,978,122.48/90,562.16
  6. Step 6: Final answer
    x = 47,061.36

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