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Finding the Fourth Proportional to 31,285.64, 46,916.84 and 10,220.78

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Solution

The fourth proportional to 31,285.64, 46,916.84 and 10,220.78 is: 15,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.64 : 46,916.84 = 10,220.78 : x
  2. Step 2: Convert to fraction form
    31,285.64/46,916.84 = 10,220.78/x
  3. Step 3: Cross multiply
    31,285.64x = 46,916.84 × 10,220.78
  4. Step 4: Simplify right side
    31,285.64x = 479,526,699.94
  5. Step 5: Solve for x
    x = 479,526,699.94/31,285.64
  6. Step 6: Final answer
    x = 15,327.37

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