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Finding the Fourth Proportional to 36,885.72, 55,294.02 and 13,494

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Solution

The fourth proportional to 36,885.72, 55,294.02 and 13,494 is: 20,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,885.72 : 55,294.02 = 13,494 : x
  2. Step 2: Convert to fraction form
    36,885.72/55,294.02 = 13,494/x
  3. Step 3: Cross multiply
    36,885.72x = 55,294.02 × 13,494
  4. Step 4: Simplify right side
    36,885.72x = 746,137,505.88
  5. Step 5: Solve for x
    x = 746,137,505.88/36,885.72
  6. Step 6: Final answer
    x = 20,228.36

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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.