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Finding the Fourth Proportional to 76,782.32, 105,967.32 and 46,566.64

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Solution

The fourth proportional to 76,782.32, 105,967.32 and 46,566.64 is: 64,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,782.32 : 105,967.32 = 46,566.64 : x
  2. Step 2: Convert to fraction form
    76,782.32/105,967.32 = 46,566.64/x
  3. Step 3: Cross multiply
    76,782.32x = 105,967.32 × 46,566.64
  4. Step 4: Simplify right side
    76,782.32x = 4,934,542,042.20
  5. Step 5: Solve for x
    x = 4,934,542,042.20/76,782.32
  6. Step 6: Final answer
    x = 64,266.64

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