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Finding the Fourth Proportional to 51,564.32, 77,287.44 and 23,804

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Solution

The fourth proportional to 51,564.32, 77,287.44 and 23,804 is: 35,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564.32 : 77,287.44 = 23,804 : x
  2. Step 2: Convert to fraction form
    51,564.32/77,287.44 = 23,804/x
  3. Step 3: Cross multiply
    51,564.32x = 77,287.44 × 23,804
  4. Step 4: Simplify right side
    51,564.32x = 1,839,750,221.76
  5. Step 5: Solve for x
    x = 1,839,750,221.76/51,564.32
  6. Step 6: Final answer
    x = 35,678.74

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