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Finding the Fourth Proportional to 41,457, 62,185.68 and 13,755

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Solution

The fourth proportional to 41,457, 62,185.68 and 13,755 is: 20,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457 : 62,185.68 = 13,755 : x
  2. Step 2: Convert to fraction form
    41,457/62,185.68 = 13,755/x
  3. Step 3: Cross multiply
    41,457x = 62,185.68 × 13,755
  4. Step 4: Simplify right side
    41,457x = 855,364,028.40
  5. Step 5: Solve for x
    x = 855,364,028.40/41,457
  6. Step 6: Final answer
    x = 20,632.56

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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.