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Finding the Fourth Proportional to 37,847.25, 51,850.95 and 36,428.43

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Solution

The fourth proportional to 37,847.25, 51,850.95 and 36,428.43 is: 49,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.25 : 51,850.95 = 36,428.43 : x
  2. Step 2: Convert to fraction form
    37,847.25/51,850.95 = 36,428.43/x
  3. Step 3: Cross multiply
    37,847.25x = 51,850.95 × 36,428.43
  4. Step 4: Simplify right side
    37,847.25x = 1,888,848,702.51
  5. Step 5: Solve for x
    x = 1,888,848,702.51/37,847.25
  6. Step 6: Final answer
    x = 49,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.