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Finding the Fourth Proportional to 52,503.24, 78,665.76 and 31,683

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Solution

The fourth proportional to 52,503.24, 78,665.76 and 31,683 is: 47,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.24 : 78,665.76 = 31,683 : x
  2. Step 2: Convert to fraction form
    52,503.24/78,665.76 = 31,683/x
  3. Step 3: Cross multiply
    52,503.24x = 78,665.76 × 31,683
  4. Step 4: Simplify right side
    52,503.24x = 2,492,367,274.08
  5. Step 5: Solve for x
    x = 2,492,367,274.08/52,503.24
  6. Step 6: Final answer
    x = 47,470.73

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