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Finding the Fourth Proportional to 69,788, 96,266.40 and 41,492

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Solution

The fourth proportional to 69,788, 96,266.40 and 41,492 is: 57,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,788 : 96,266.40 = 41,492 : x
  2. Step 2: Convert to fraction form
    69,788/96,266.40 = 41,492/x
  3. Step 3: Cross multiply
    69,788x = 96,266.40 × 41,492
  4. Step 4: Simplify right side
    69,788x = 3,994,285,468.80
  5. Step 5: Solve for x
    x = 3,994,285,468.80/69,788
  6. Step 6: Final answer
    x = 57,234.56

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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.