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Finding the Fourth Proportional to 76,882.41, 106,098.53 and 42,894

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Solution

The fourth proportional to 76,882.41, 106,098.53 and 42,894 is: 59,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.41 : 106,098.53 = 42,894 : x
  2. Step 2: Convert to fraction form
    76,882.41/106,098.53 = 42,894/x
  3. Step 3: Cross multiply
    76,882.41x = 106,098.53 × 42,894
  4. Step 4: Simplify right side
    76,882.41x = 4,550,990,131.35
  5. Step 5: Solve for x
    x = 4,550,990,131.35/76,882.41
  6. Step 6: Final answer
    x = 59,194.17

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