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Finding the Fourth Proportional to 57,782, 86,672.46 and 31,140.54

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Solution

The fourth proportional to 57,782, 86,672.46 and 31,140.54 is: 46,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782 : 86,672.46 = 31,140.54 : x
  2. Step 2: Convert to fraction form
    57,782/86,672.46 = 31,140.54/x
  3. Step 3: Cross multiply
    57,782x = 86,672.46 × 31,140.54
  4. Step 4: Simplify right side
    57,782x = 2,699,027,207.53
  5. Step 5: Solve for x
    x = 2,699,027,207.53/57,782
  6. Step 6: Final answer
    x = 46,710.52

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