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Finding the Fourth Proportional to 82,516.98, 113,863.98 and 46,213.38

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Solution

The fourth proportional to 82,516.98, 113,863.98 and 46,213.38 is: 63,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516.98 : 113,863.98 = 46,213.38 : x
  2. Step 2: Convert to fraction form
    82,516.98/113,863.98 = 46,213.38/x
  3. Step 3: Cross multiply
    82,516.98x = 113,863.98 × 46,213.38
  4. Step 4: Simplify right side
    82,516.98x = 5,262,039,376.05
  5. Step 5: Solve for x
    x = 5,262,039,376.05/82,516.98
  6. Step 6: Final answer
    x = 63,769.17

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Why These Related Problems?

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