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Finding the Fourth Proportional to 53,213.67, 79,822.20 and 19,927.41

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Solution

The fourth proportional to 53,213.67, 79,822.20 and 19,927.41 is: 29,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213.67 : 79,822.20 = 19,927.41 : x
  2. Step 2: Convert to fraction form
    53,213.67/79,822.20 = 19,927.41/x
  3. Step 3: Cross multiply
    53,213.67x = 79,822.20 × 19,927.41
  4. Step 4: Simplify right side
    53,213.67x = 1,590,649,706.50
  5. Step 5: Solve for x
    x = 1,590,649,706.50/53,213.67
  6. Step 6: Final answer
    x = 29,891.75

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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.