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Finding the Fourth Proportional to 76,238.70, 114,337.32 and 31,856.16

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Solution

The fourth proportional to 76,238.70, 114,337.32 and 31,856.16 is: 47,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.70 : 114,337.32 = 31,856.16 : x
  2. Step 2: Convert to fraction form
    76,238.70/114,337.32 = 31,856.16/x
  3. Step 3: Cross multiply
    76,238.70x = 114,337.32 × 31,856.16
  4. Step 4: Simplify right side
    76,238.70x = 3,642,347,959.89
  5. Step 5: Solve for x
    x = 3,642,347,959.89/76,238.70
  6. Step 6: Final answer
    x = 47,775.58

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