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Finding the Fourth Proportional to 41,554, 62,334.24 and 13,852

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Solution

The fourth proportional to 41,554, 62,334.24 and 13,852 is: 20,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,554 : 62,334.24 = 13,852 : x
  2. Step 2: Convert to fraction form
    41,554/62,334.24 = 13,852/x
  3. Step 3: Cross multiply
    41,554x = 62,334.24 × 13,852
  4. Step 4: Simplify right side
    41,554x = 863,453,892.48
  5. Step 5: Solve for x
    x = 863,453,892.48/41,554
  6. Step 6: Final answer
    x = 20,779.08

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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.