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Finding the Fourth Proportional to 97,324.54, 145,986.49 and 23,452.54

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Solution

The fourth proportional to 97,324.54, 145,986.49 and 23,452.54 is: 35,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324.54 : 145,986.49 = 23,452.54 : x
  2. Step 2: Convert to fraction form
    97,324.54/145,986.49 = 23,452.54/x
  3. Step 3: Cross multiply
    97,324.54x = 145,986.49 × 23,452.54
  4. Step 4: Simplify right side
    97,324.54x = 3,423,753,996.18
  5. Step 5: Solve for x
    x = 3,423,753,996.18/97,324.54
  6. Step 6: Final answer
    x = 35,178.73

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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.