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Finding the Fourth Proportional to 82,489.32, 113,829.84 and 46,683

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Solution

The fourth proportional to 82,489.32, 113,829.84 and 46,683 is: 64,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.32 : 113,829.84 = 46,683 : x
  2. Step 2: Convert to fraction form
    82,489.32/113,829.84 = 46,683/x
  3. Step 3: Cross multiply
    82,489.32x = 113,829.84 × 46,683
  4. Step 4: Simplify right side
    82,489.32x = 5,313,918,420.72
  5. Step 5: Solve for x
    x = 5,313,918,420.72/82,489.32
  6. Step 6: Final answer
    x = 64,419.47

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