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Finding the Fourth Proportional to 82,942.40, 114,462.23 and 46,644.54

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Solution

The fourth proportional to 82,942.40, 114,462.23 and 46,644.54 is: 64,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,942.40 : 114,462.23 = 46,644.54 : x
  2. Step 2: Convert to fraction form
    82,942.40/114,462.23 = 46,644.54/x
  3. Step 3: Cross multiply
    82,942.40x = 114,462.23 × 46,644.54
  4. Step 4: Simplify right side
    82,942.40x = 5,339,037,832.50
  5. Step 5: Solve for x
    x = 5,339,037,832.50/82,942.40
  6. Step 6: Final answer
    x = 64,370.43

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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.