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Finding the Fourth Proportional to 65,536, 98,279.04 and 23,408.20

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Solution

The fourth proportional to 65,536, 98,279.04 and 23,408.20 is: 35,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,536 : 98,279.04 = 23,408.20 : x
  2. Step 2: Convert to fraction form
    65,536/98,279.04 = 23,408.20/x
  3. Step 3: Cross multiply
    65,536x = 98,279.04 × 23,408.20
  4. Step 4: Simplify right side
    65,536x = 2,300,535,424.13
  5. Step 5: Solve for x
    x = 2,300,535,424.13/65,536
  6. Step 6: Final answer
    x = 35,103.38

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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.