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Finding the Fourth Proportional to 76,638.64, 105,775.88 and 47,971.60

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Solution

The fourth proportional to 76,638.64, 105,775.88 and 47,971.60 is: 66,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.64 : 105,775.88 = 47,971.60 : x
  2. Step 2: Convert to fraction form
    76,638.64/105,775.88 = 47,971.60/x
  3. Step 3: Cross multiply
    76,638.64x = 105,775.88 × 47,971.60
  4. Step 4: Simplify right side
    76,638.64x = 5,074,238,205.01
  5. Step 5: Solve for x
    x = 5,074,238,205.01/76,638.64
  6. Step 6: Final answer
    x = 66,209.92

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