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Finding the Fourth Proportional to 54,697, 75,481.90 and 29,546.50

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Solution

The fourth proportional to 54,697, 75,481.90 and 29,546.50 is: 40,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697 : 75,481.90 = 29,546.50 : x
  2. Step 2: Convert to fraction form
    54,697/75,481.90 = 29,546.50/x
  3. Step 3: Cross multiply
    54,697x = 75,481.90 × 29,546.50
  4. Step 4: Simplify right side
    54,697x = 2,230,225,958.35
  5. Step 5: Solve for x
    x = 2,230,225,958.35/54,697
  6. Step 6: Final answer
    x = 40,774.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.