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Finding the Fourth Proportional to 27,403, 41,110.98 and 8,935

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Solution

The fourth proportional to 27,403, 41,110.98 and 8,935 is: 13,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403 : 41,110.98 = 8,935 : x
  2. Step 2: Convert to fraction form
    27,403/41,110.98 = 8,935/x
  3. Step 3: Cross multiply
    27,403x = 41,110.98 × 8,935
  4. Step 4: Simplify right side
    27,403x = 367,326,606.30
  5. Step 5: Solve for x
    x = 367,326,606.30/27,403
  6. Step 6: Final answer
    x = 13,404.61

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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.