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Finding the Fourth Proportional to 73,196.10, 109,806.30 and 28,824.30

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Solution

The fourth proportional to 73,196.10, 109,806.30 and 28,824.30 is: 43,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,196.10 : 109,806.30 = 28,824.30 : x
  2. Step 2: Convert to fraction form
    73,196.10/109,806.30 = 28,824.30/x
  3. Step 3: Cross multiply
    73,196.10x = 109,806.30 × 28,824.30
  4. Step 4: Simplify right side
    73,196.10x = 3,165,089,733.09
  5. Step 5: Solve for x
    x = 3,165,089,733.09/73,196.10
  6. Step 6: Final answer
    x = 43,241.23

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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.