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Finding the Fourth Proportional to 82,650.51, 114,049.22 and 46,843.65

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Solution

The fourth proportional to 82,650.51, 114,049.22 and 46,843.65 is: 64,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.51 : 114,049.22 = 46,843.65 : x
  2. Step 2: Convert to fraction form
    82,650.51/114,049.22 = 46,843.65/x
  3. Step 3: Cross multiply
    82,650.51x = 114,049.22 × 46,843.65
  4. Step 4: Simplify right side
    82,650.51x = 5,342,481,510.23
  5. Step 5: Solve for x
    x = 5,342,481,510.23/82,650.51
  6. Step 6: Final answer
    x = 64,639.43

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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.