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Finding the Fourth Proportional to 76,378.32, 105,406.92 and 42,846.48

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Solution

The fourth proportional to 76,378.32, 105,406.92 and 42,846.48 is: 59,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.32 : 105,406.92 = 42,846.48 : x
  2. Step 2: Convert to fraction form
    76,378.32/105,406.92 = 42,846.48/x
  3. Step 3: Cross multiply
    76,378.32x = 105,406.92 × 42,846.48
  4. Step 4: Simplify right side
    76,378.32x = 4,516,315,489.64
  5. Step 5: Solve for x
    x = 4,516,315,489.64/76,378.32
  6. Step 6: Final answer
    x = 59,130.86

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