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Finding the Fourth Proportional to 75,870.95, 113,857.21 and 31,497.74

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Solution

The fourth proportional to 75,870.95, 113,857.21 and 31,497.74 is: 47,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870.95 : 113,857.21 = 31,497.74 : x
  2. Step 2: Convert to fraction form
    75,870.95/113,857.21 = 31,497.74/x
  3. Step 3: Cross multiply
    75,870.95x = 113,857.21 × 31,497.74
  4. Step 4: Simplify right side
    75,870.95x = 3,586,244,797.71
  5. Step 5: Solve for x
    x = 3,586,244,797.71/75,870.95
  6. Step 6: Final answer
    x = 47,267.69

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