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Finding the Fourth Proportional to 78,085.44, 117,141.12 and 31,312.80

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Solution

The fourth proportional to 78,085.44, 117,141.12 and 31,312.80 is: 46,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.44 : 117,141.12 = 31,312.80 : x
  2. Step 2: Convert to fraction form
    78,085.44/117,141.12 = 31,312.80/x
  3. Step 3: Cross multiply
    78,085.44x = 117,141.12 × 31,312.80
  4. Step 4: Simplify right side
    78,085.44x = 3,668,016,462.34
  5. Step 5: Solve for x
    x = 3,668,016,462.34/78,085.44
  6. Step 6: Final answer
    x = 46,974.40

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