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Finding the Fourth Proportional to 97,676.50, 134,793.64 and 52,964.50

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Solution

The fourth proportional to 97,676.50, 134,793.64 and 52,964.50 is: 73,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.50 : 134,793.64 = 52,964.50 : x
  2. Step 2: Convert to fraction form
    97,676.50/134,793.64 = 52,964.50/x
  3. Step 3: Cross multiply
    97,676.50x = 134,793.64 × 52,964.50
  4. Step 4: Simplify right side
    97,676.50x = 7,139,277,745.78
  5. Step 5: Solve for x
    x = 7,139,277,745.78/97,676.50
  6. Step 6: Final answer
    x = 73,091.05

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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.