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Finding the Fourth Proportional to 76,201.95, 114,284.54 and 31,804.64

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Solution

The fourth proportional to 76,201.95, 114,284.54 and 31,804.64 is: 47,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201.95 : 114,284.54 = 31,804.64 : x
  2. Step 2: Convert to fraction form
    76,201.95/114,284.54 = 31,804.64/x
  3. Step 3: Cross multiply
    76,201.95x = 114,284.54 × 31,804.64
  4. Step 4: Simplify right side
    76,201.95x = 3,634,778,160.35
  5. Step 5: Solve for x
    x = 3,634,778,160.35/76,201.95
  6. Step 6: Final answer
    x = 47,699.28

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