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Finding the Fourth Proportional to 62,002, 93,003 and 20,452.24

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Solution

The fourth proportional to 62,002, 93,003 and 20,452.24 is: 30,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,002 : 93,003 = 20,452.24 : x
  2. Step 2: Convert to fraction form
    62,002/93,003 = 20,452.24/x
  3. Step 3: Cross multiply
    62,002x = 93,003 × 20,452.24
  4. Step 4: Simplify right side
    62,002x = 1,902,119,676.72
  5. Step 5: Solve for x
    x = 1,902,119,676.72/62,002
  6. Step 6: Final answer
    x = 30,678.36

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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.