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Finding the Fourth Proportional to 35,881.41, 53,825.78 and 13,713.44

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Solution

The fourth proportional to 35,881.41, 53,825.78 and 13,713.44 is: 20,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.41 : 53,825.78 = 13,713.44 : x
  2. Step 2: Convert to fraction form
    35,881.41/53,825.78 = 13,713.44/x
  3. Step 3: Cross multiply
    35,881.41x = 53,825.78 × 13,713.44
  4. Step 4: Simplify right side
    35,881.41x = 738,136,773.33
  5. Step 5: Solve for x
    x = 738,136,773.33/35,881.41
  6. Step 6: Final answer
    x = 20,571.57

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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.