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Finding the Fourth Proportional to 82,930.96, 114,440.41 and 47,116

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Solution

The fourth proportional to 82,930.96, 114,440.41 and 47,116 is: 65,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930.96 : 114,440.41 = 47,116 : x
  2. Step 2: Convert to fraction form
    82,930.96/114,440.41 = 47,116/x
  3. Step 3: Cross multiply
    82,930.96x = 114,440.41 × 47,116
  4. Step 4: Simplify right side
    82,930.96x = 5,391,974,357.56
  5. Step 5: Solve for x
    x = 5,391,974,357.56/82,930.96
  6. Step 6: Final answer
    x = 65,017.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.