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Finding the Fourth Proportional to 48,806.96, 73,160.16 and 19,212.80

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Solution

The fourth proportional to 48,806.96, 73,160.16 and 19,212.80 is: 28,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806.96 : 73,160.16 = 19,212.80 : x
  2. Step 2: Convert to fraction form
    48,806.96/73,160.16 = 19,212.80/x
  3. Step 3: Cross multiply
    48,806.96x = 73,160.16 × 19,212.80
  4. Step 4: Simplify right side
    48,806.96x = 1,405,611,522.05
  5. Step 5: Solve for x
    x = 1,405,611,522.05/48,806.96
  6. Step 6: Final answer
    x = 28,799.41

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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.