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Finding the Fourth Proportional to 37,329.38, 51,514.95 and 21,415.31

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Solution

The fourth proportional to 37,329.38, 51,514.95 and 21,415.31 is: 29,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,329.38 : 51,514.95 = 21,415.31 : x
  2. Step 2: Convert to fraction form
    37,329.38/51,514.95 = 21,415.31/x
  3. Step 3: Cross multiply
    37,329.38x = 51,514.95 × 21,415.31
  4. Step 4: Simplify right side
    37,329.38x = 1,103,208,623.88
  5. Step 5: Solve for x
    x = 1,103,208,623.88/37,329.38
  6. Step 6: Final answer
    x = 29,553.36

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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.