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Finding the Fourth Proportional to 27,634, 41,457.12 and 10,103.44

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Solution

The fourth proportional to 27,634, 41,457.12 and 10,103.44 is: 15,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634 : 41,457.12 = 10,103.44 : x
  2. Step 2: Convert to fraction form
    27,634/41,457.12 = 10,103.44/x
  3. Step 3: Cross multiply
    27,634x = 41,457.12 × 10,103.44
  4. Step 4: Simplify right side
    27,634x = 418,859,524.49
  5. Step 5: Solve for x
    x = 418,859,524.49/27,634
  6. Step 6: Final answer
    x = 15,157.40

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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.