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Finding the Fourth Proportional to 27,457.50, 41,161.80 and 9,923.43

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Solution

The fourth proportional to 27,457.50, 41,161.80 and 9,923.43 is: 14,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.50 : 41,161.80 = 9,923.43 : x
  2. Step 2: Convert to fraction form
    27,457.50/41,161.80 = 9,923.43/x
  3. Step 3: Cross multiply
    27,457.50x = 41,161.80 × 9,923.43
  4. Step 4: Simplify right side
    27,457.50x = 408,466,240.97
  5. Step 5: Solve for x
    x = 408,466,240.97/27,457.50
  6. Step 6: Final answer
    x = 14,876.31

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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.