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Finding the Fourth Proportional to 37,368, 51,571.49 and 20,601

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Solution

The fourth proportional to 37,368, 51,571.49 and 20,601 is: 28,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,368 : 51,571.49 = 20,601 : x
  2. Step 2: Convert to fraction form
    37,368/51,571.49 = 20,601/x
  3. Step 3: Cross multiply
    37,368x = 51,571.49 × 20,601
  4. Step 4: Simplify right side
    37,368x = 1,062,424,162.49
  5. Step 5: Solve for x
    x = 1,062,424,162.49/37,368
  6. Step 6: Final answer
    x = 28,431.39

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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.