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Finding the Fourth Proportional to 27,861.39, 41,802.75 and 16,776

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Solution

The fourth proportional to 27,861.39, 41,802.75 and 16,776 is: 25,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.39 : 41,802.75 = 16,776 : x
  2. Step 2: Convert to fraction form
    27,861.39/41,802.75 = 16,776/x
  3. Step 3: Cross multiply
    27,861.39x = 41,802.75 × 16,776
  4. Step 4: Simplify right side
    27,861.39x = 701,282,934
  5. Step 5: Solve for x
    x = 701,282,934/27,861.39
  6. Step 6: Final answer
    x = 25,170.42

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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.