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Finding the Fourth Proportional to 51,283.98, 76,907.73 and 19,696.41

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Solution

The fourth proportional to 51,283.98, 76,907.73 and 19,696.41 is: 29,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,283.98 : 76,907.73 = 19,696.41 : x
  2. Step 2: Convert to fraction form
    51,283.98/76,907.73 = 19,696.41/x
  3. Step 3: Cross multiply
    51,283.98x = 76,907.73 × 19,696.41
  4. Step 4: Simplify right side
    51,283.98x = 1,514,806,182.25
  5. Step 5: Solve for x
    x = 1,514,806,182.25/51,283.98
  6. Step 6: Final answer
    x = 29,537.61

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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.