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Finding the Fourth Proportional to 78,184.64, 117,247.68 and 31,421.76

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Solution

The fourth proportional to 78,184.64, 117,247.68 and 31,421.76 is: 47,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,184.64 : 117,247.68 = 31,421.76 : x
  2. Step 2: Convert to fraction form
    78,184.64/117,247.68 = 31,421.76/x
  3. Step 3: Cross multiply
    78,184.64x = 117,247.68 × 31,421.76
  4. Step 4: Simplify right side
    78,184.64x = 3,684,128,461.52
  5. Step 5: Solve for x
    x = 3,684,128,461.52/78,184.64
  6. Step 6: Final answer
    x = 47,120.87

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