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Finding the Fourth Proportional to 67,531, 93,192.78 and 37,723

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Solution

The fourth proportional to 67,531, 93,192.78 and 37,723 is: 52,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,531 : 93,192.78 = 37,723 : x
  2. Step 2: Convert to fraction form
    67,531/93,192.78 = 37,723/x
  3. Step 3: Cross multiply
    67,531x = 93,192.78 × 37,723
  4. Step 4: Simplify right side
    67,531x = 3,515,511,239.94
  5. Step 5: Solve for x
    x = 3,515,511,239.94/67,531
  6. Step 6: Final answer
    x = 52,057.74

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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.