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Finding the Fourth Proportional to 55,116.76, 82,647.96 and 17,668

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Solution

The fourth proportional to 55,116.76, 82,647.96 and 17,668 is: 26,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116.76 : 82,647.96 = 17,668 : x
  2. Step 2: Convert to fraction form
    55,116.76/82,647.96 = 17,668/x
  3. Step 3: Cross multiply
    55,116.76x = 82,647.96 × 17,668
  4. Step 4: Simplify right side
    55,116.76x = 1,460,224,157.28
  5. Step 5: Solve for x
    x = 1,460,224,157.28/55,116.76
  6. Step 6: Final answer
    x = 26,493.29

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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.