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Finding the Fourth Proportional to 36,136, 54,194.80 and 9,839.36

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Solution

The fourth proportional to 36,136, 54,194.80 and 9,839.36 is: 14,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,136 : 54,194.80 = 9,839.36 : x
  2. Step 2: Convert to fraction form
    36,136/54,194.80 = 9,839.36/x
  3. Step 3: Cross multiply
    36,136x = 54,194.80 × 9,839.36
  4. Step 4: Simplify right side
    36,136x = 533,242,147.33
  5. Step 5: Solve for x
    x = 533,242,147.33/36,136
  6. Step 6: Final answer
    x = 14,756.53

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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.