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Finding the Fourth Proportional to 51,852.80, 77,784 and 31,207.52

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Solution

The fourth proportional to 51,852.80, 77,784 and 31,207.52 is: 46,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.80 : 77,784 = 31,207.52 : x
  2. Step 2: Convert to fraction form
    51,852.80/77,784 = 31,207.52/x
  3. Step 3: Cross multiply
    51,852.80x = 77,784 × 31,207.52
  4. Step 4: Simplify right side
    51,852.80x = 2,427,445,735.68
  5. Step 5: Solve for x
    x = 2,427,445,735.68/51,852.80
  6. Step 6: Final answer
    x = 46,814.17

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