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Finding the Fourth Proportional to 65,103.03, 97,662.36 and 22,974.41

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Solution

The fourth proportional to 65,103.03, 97,662.36 and 22,974.41 is: 34,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.03 : 97,662.36 = 22,974.41 : x
  2. Step 2: Convert to fraction form
    65,103.03/97,662.36 = 22,974.41/x
  3. Step 3: Cross multiply
    65,103.03x = 97,662.36 × 22,974.41
  4. Step 4: Simplify right side
    65,103.03x = 2,243,735,100.21
  5. Step 5: Solve for x
    x = 2,243,735,100.21/65,103.03
  6. Step 6: Final answer
    x = 34,464.37

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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.