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Finding the Fourth Proportional to 82,732, 114,161.52 and 46,910.56

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Solution

The fourth proportional to 82,732, 114,161.52 and 46,910.56 is: 64,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732 : 114,161.52 = 46,910.56 : x
  2. Step 2: Convert to fraction form
    82,732/114,161.52 = 46,910.56/x
  3. Step 3: Cross multiply
    82,732x = 114,161.52 × 46,910.56
  4. Step 4: Simplify right side
    82,732x = 5,355,380,833.65
  5. Step 5: Solve for x
    x = 5,355,380,833.65/82,732
  6. Step 6: Final answer
    x = 64,731.67

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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.