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Finding the Fourth Proportional to 78,224.86, 107,950.31 and 42,414.86

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Solution

The fourth proportional to 78,224.86, 107,950.31 and 42,414.86 is: 58,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224.86 : 107,950.31 = 42,414.86 : x
  2. Step 2: Convert to fraction form
    78,224.86/107,950.31 = 42,414.86/x
  3. Step 3: Cross multiply
    78,224.86x = 107,950.31 × 42,414.86
  4. Step 4: Simplify right side
    78,224.86x = 4,578,697,285.61
  5. Step 5: Solve for x
    x = 4,578,697,285.61/78,224.86
  6. Step 6: Final answer
    x = 58,532.51

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