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Finding the Fourth Proportional to 41,668.88, 57,503.05 and 22,806

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Solution

The fourth proportional to 41,668.88, 57,503.05 and 22,806 is: 31,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,668.88 : 57,503.05 = 22,806 : x
  2. Step 2: Convert to fraction form
    41,668.88/57,503.05 = 22,806/x
  3. Step 3: Cross multiply
    41,668.88x = 57,503.05 × 22,806
  4. Step 4: Simplify right side
    41,668.88x = 1,311,414,501.29
  5. Step 5: Solve for x
    x = 1,311,414,501.29/41,668.88
  6. Step 6: Final answer
    x = 31,472.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.