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Finding the Fourth Proportional to 36,165.80, 54,248.72 and 16,450

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Solution

The fourth proportional to 36,165.80, 54,248.72 and 16,450 is: 24,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165.80 : 54,248.72 = 16,450 : x
  2. Step 2: Convert to fraction form
    36,165.80/54,248.72 = 16,450/x
  3. Step 3: Cross multiply
    36,165.80x = 54,248.72 × 16,450
  4. Step 4: Simplify right side
    36,165.80x = 892,391,444
  5. Step 5: Solve for x
    x = 892,391,444/36,165.80
  6. Step 6: Final answer
    x = 24,675.01

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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.