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Finding the Fourth Proportional to 49,584.64, 74,377.74 and 49,511.74

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Solution

The fourth proportional to 49,584.64, 74,377.74 and 49,511.74 is: 74,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,584.64 : 74,377.74 = 49,511.74 : x
  2. Step 2: Convert to fraction form
    49,584.64/74,377.74 = 49,511.74/x
  3. Step 3: Cross multiply
    49,584.64x = 74,377.74 × 49,511.74
  4. Step 4: Simplify right side
    49,584.64x = 3,682,571,324.67
  5. Step 5: Solve for x
    x = 3,682,571,324.67/49,584.64
  6. Step 6: Final answer
    x = 74,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.