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Finding the Fourth Proportional to 78,048.20, 107,706.54 and 42,238.24

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Solution

The fourth proportional to 78,048.20, 107,706.54 and 42,238.24 is: 58,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048.20 : 107,706.54 = 42,238.24 : x
  2. Step 2: Convert to fraction form
    78,048.20/107,706.54 = 42,238.24/x
  3. Step 3: Cross multiply
    78,048.20x = 107,706.54 × 42,238.24
  4. Step 4: Simplify right side
    78,048.20x = 4,549,334,686.09
  5. Step 5: Solve for x
    x = 4,549,334,686.09/78,048.20
  6. Step 6: Final answer
    x = 58,288.78

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