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Finding the Fourth Proportional to 97,676.96, 134,751.44 and 57,372.56

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Solution

The fourth proportional to 97,676.96, 134,751.44 and 57,372.56 is: 79,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.96 : 134,751.44 = 57,372.56 : x
  2. Step 2: Convert to fraction form
    97,676.96/134,751.44 = 57,372.56/x
  3. Step 3: Cross multiply
    97,676.96x = 134,751.44 × 57,372.56
  4. Step 4: Simplify right side
    97,676.96x = 7,731,034,115.87
  5. Step 5: Solve for x
    x = 7,731,034,115.87/97,676.96
  6. Step 6: Final answer
    x = 79,149.01

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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.