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Finding the Fourth Proportional to 82,034.46, 113,220.21 and 49,774.38

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Solution

The fourth proportional to 82,034.46, 113,220.21 and 49,774.38 is: 68,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034.46 : 113,220.21 = 49,774.38 : x
  2. Step 2: Convert to fraction form
    82,034.46/113,220.21 = 49,774.38/x
  3. Step 3: Cross multiply
    82,034.46x = 113,220.21 × 49,774.38
  4. Step 4: Simplify right side
    82,034.46x = 5,635,465,756.22
  5. Step 5: Solve for x
    x = 5,635,465,756.22/82,034.46
  6. Step 6: Final answer
    x = 68,696.32

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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.