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Finding the Fourth Proportional to 73,224, 109,770.84 and 26,466.48

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Solution

The fourth proportional to 73,224, 109,770.84 and 26,466.48 is: 39,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,224 : 109,770.84 = 26,466.48 : x
  2. Step 2: Convert to fraction form
    73,224/109,770.84 = 26,466.48/x
  3. Step 3: Cross multiply
    73,224x = 109,770.84 × 26,466.48
  4. Step 4: Simplify right side
    73,224x = 2,905,247,741.44
  5. Step 5: Solve for x
    x = 2,905,247,741.44/73,224
  6. Step 6: Final answer
    x = 39,676.17

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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.