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Finding the Fourth Proportional to 33,136.42, 49,713.52 and 14,420.48

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Solution

The fourth proportional to 33,136.42, 49,713.52 and 14,420.48 is: 21,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.42 : 49,713.52 = 14,420.48 : x
  2. Step 2: Convert to fraction form
    33,136.42/49,713.52 = 14,420.48/x
  3. Step 3: Cross multiply
    33,136.42x = 49,713.52 × 14,420.48
  4. Step 4: Simplify right side
    33,136.42x = 716,892,820.89
  5. Step 5: Solve for x
    x = 716,892,820.89/33,136.42
  6. Step 6: Final answer
    x = 21,634.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.