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Finding the Fourth Proportional to 51,683.84, 77,508.96 and 31,932.80

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Solution

The fourth proportional to 51,683.84, 77,508.96 and 31,932.80 is: 47,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.84 : 77,508.96 = 31,932.80 : x
  2. Step 2: Convert to fraction form
    51,683.84/77,508.96 = 31,932.80/x
  3. Step 3: Cross multiply
    51,683.84x = 77,508.96 × 31,932.80
  4. Step 4: Simplify right side
    51,683.84x = 2,475,078,117.89
  5. Step 5: Solve for x
    x = 2,475,078,117.89/51,683.84
  6. Step 6: Final answer
    x = 47,888.82

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