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Finding the Fourth Proportional to 48,524.69, 72,786.21 and 21,855.84

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Solution

The fourth proportional to 48,524.69, 72,786.21 and 21,855.84 is: 32,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,524.69 : 72,786.21 = 21,855.84 : x
  2. Step 2: Convert to fraction form
    48,524.69/72,786.21 = 21,855.84/x
  3. Step 3: Cross multiply
    48,524.69x = 72,786.21 × 21,855.84
  4. Step 4: Simplify right side
    48,524.69x = 1,590,803,759.97
  5. Step 5: Solve for x
    x = 1,590,803,759.97/48,524.69
  6. Step 6: Final answer
    x = 32,783.39

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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.