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Finding the Fourth Proportional to 64,855.37, 97,324.05 and 38,201.30

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Solution

The fourth proportional to 64,855.37, 97,324.05 and 38,201.30 is: 57,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855.37 : 97,324.05 = 38,201.30 : x
  2. Step 2: Convert to fraction form
    64,855.37/97,324.05 = 38,201.30/x
  3. Step 3: Cross multiply
    64,855.37x = 97,324.05 × 38,201.30
  4. Step 4: Simplify right side
    64,855.37x = 3,717,905,231.27
  5. Step 5: Solve for x
    x = 3,717,905,231.27/64,855.37
  6. Step 6: Final answer
    x = 57,326.10

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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.