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Finding the Fourth Proportional to 65,530.80, 98,369.10 and 36,006.30

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Solution

The fourth proportional to 65,530.80, 98,369.10 and 36,006.30 is: 54,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530.80 : 98,369.10 = 36,006.30 : x
  2. Step 2: Convert to fraction form
    65,530.80/98,369.10 = 36,006.30/x
  3. Step 3: Cross multiply
    65,530.80x = 98,369.10 × 36,006.30
  4. Step 4: Simplify right side
    65,530.80x = 3,541,907,325.33
  5. Step 5: Solve for x
    x = 3,541,907,325.33/65,530.80
  6. Step 6: Final answer
    x = 54,049.51

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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.