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Finding the Fourth Proportional to 97,676.20, 146,499.90 and 27,562.60

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Solution

The fourth proportional to 97,676.20, 146,499.90 and 27,562.60 is: 41,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.20 : 146,499.90 = 27,562.60 : x
  2. Step 2: Convert to fraction form
    97,676.20/146,499.90 = 27,562.60/x
  3. Step 3: Cross multiply
    97,676.20x = 146,499.90 × 27,562.60
  4. Step 4: Simplify right side
    97,676.20x = 4,037,918,143.74
  5. Step 5: Solve for x
    x = 4,037,918,143.74/97,676.20
  6. Step 6: Final answer
    x = 41,339.84

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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.