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Finding the Fourth Proportional to 33,114.42, 49,655.16 and 14,136.05

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Solution

The fourth proportional to 33,114.42, 49,655.16 and 14,136.05 is: 21,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.42 : 49,655.16 = 14,136.05 : x
  2. Step 2: Convert to fraction form
    33,114.42/49,655.16 = 14,136.05/x
  3. Step 3: Cross multiply
    33,114.42x = 49,655.16 × 14,136.05
  4. Step 4: Simplify right side
    33,114.42x = 701,927,948.66
  5. Step 5: Solve for x
    x = 701,927,948.66/33,114.42
  6. Step 6: Final answer
    x = 21,197.05

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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.