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Finding the Fourth Proportional to 33,457.20, 50,128.20 and 17,638.80

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Solution

The fourth proportional to 33,457.20, 50,128.20 and 17,638.80 is: 26,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.20 : 50,128.20 = 17,638.80 : x
  2. Step 2: Convert to fraction form
    33,457.20/50,128.20 = 17,638.80/x
  3. Step 3: Cross multiply
    33,457.20x = 50,128.20 × 17,638.80
  4. Step 4: Simplify right side
    33,457.20x = 884,201,294.16
  5. Step 5: Solve for x
    x = 884,201,294.16/33,457.20
  6. Step 6: Final answer
    x = 26,427.83

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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.