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Finding the Fourth Proportional to 78,589.96, 117,841.86 and 31,157

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Solution

The fourth proportional to 78,589.96, 117,841.86 and 31,157 is: 46,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.96 : 117,841.86 = 31,157 : x
  2. Step 2: Convert to fraction form
    78,589.96/117,841.86 = 31,157/x
  3. Step 3: Cross multiply
    78,589.96x = 117,841.86 × 31,157
  4. Step 4: Simplify right side
    78,589.96x = 3,671,598,832.02
  5. Step 5: Solve for x
    x = 3,671,598,832.02/78,589.96
  6. Step 6: Final answer
    x = 46,718.42

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