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Finding the Fourth Proportional to 64,944.54, 97,408.62 and 20,575.80

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Solution

The fourth proportional to 64,944.54, 97,408.62 and 20,575.80 is: 30,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,944.54 : 97,408.62 = 20,575.80 : x
  2. Step 2: Convert to fraction form
    64,944.54/97,408.62 = 20,575.80/x
  3. Step 3: Cross multiply
    64,944.54x = 97,408.62 × 20,575.80
  4. Step 4: Simplify right side
    64,944.54x = 2,004,260,283.40
  5. Step 5: Solve for x
    x = 2,004,260,283.40/64,944.54
  6. Step 6: Final answer
    x = 30,861.11

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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.