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Finding the Fourth Proportional to 36,605.10, 54,871.20 and 16,849.20

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Solution

The fourth proportional to 36,605.10, 54,871.20 and 16,849.20 is: 25,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,605.10 : 54,871.20 = 16,849.20 : x
  2. Step 2: Convert to fraction form
    36,605.10/54,871.20 = 16,849.20/x
  3. Step 3: Cross multiply
    36,605.10x = 54,871.20 × 16,849.20
  4. Step 4: Simplify right side
    36,605.10x = 924,535,823.04
  5. Step 5: Solve for x
    x = 924,535,823.04/36,605.10
  6. Step 6: Final answer
    x = 25,257.02

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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.