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Finding the Fourth Proportional to 78,117.12, 117,181.16 and 31,370

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Solution

The fourth proportional to 78,117.12, 117,181.16 and 31,370 is: 47,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.12 : 117,181.16 = 31,370 : x
  2. Step 2: Convert to fraction form
    78,117.12/117,181.16 = 31,370/x
  3. Step 3: Cross multiply
    78,117.12x = 117,181.16 × 31,370
  4. Step 4: Simplify right side
    78,117.12x = 3,675,972,989.20
  5. Step 5: Solve for x
    x = 3,675,972,989.20/78,117.12
  6. Step 6: Final answer
    x = 47,057.20

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