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Finding the Fourth Proportional to 75,475.47, 113,226.89 and 31,078

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Solution

The fourth proportional to 75,475.47, 113,226.89 and 31,078 is: 46,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,475.47 : 113,226.89 = 31,078 : x
  2. Step 2: Convert to fraction form
    75,475.47/113,226.89 = 31,078/x
  3. Step 3: Cross multiply
    75,475.47x = 113,226.89 × 31,078
  4. Step 4: Simplify right side
    75,475.47x = 3,518,865,287.42
  5. Step 5: Solve for x
    x = 3,518,865,287.42/75,475.47
  6. Step 6: Final answer
    x = 46,622.63

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