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Finding the Fourth Proportional to 76,665.14, 114,988.64 and 20,509.60

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Solution

The fourth proportional to 76,665.14, 114,988.64 and 20,509.60 is: 30,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,665.14 : 114,988.64 = 20,509.60 : x
  2. Step 2: Convert to fraction form
    76,665.14/114,988.64 = 20,509.60/x
  3. Step 3: Cross multiply
    76,665.14x = 114,988.64 × 20,509.60
  4. Step 4: Simplify right side
    76,665.14x = 2,358,371,010.94
  5. Step 5: Solve for x
    x = 2,358,371,010.94/76,665.14
  6. Step 6: Final answer
    x = 30,761.97

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