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Finding the Fourth Proportional to 65,679.50, 98,519.52 and 16,431.50

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Solution

The fourth proportional to 65,679.50, 98,519.52 and 16,431.50 is: 24,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.50 : 98,519.52 = 16,431.50 : x
  2. Step 2: Convert to fraction form
    65,679.50/98,519.52 = 16,431.50/x
  3. Step 3: Cross multiply
    65,679.50x = 98,519.52 × 16,431.50
  4. Step 4: Simplify right side
    65,679.50x = 1,618,823,492.88
  5. Step 5: Solve for x
    x = 1,618,823,492.88/65,679.50
  6. Step 6: Final answer
    x = 24,647.32

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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.