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Finding the Fourth Proportional to 43,136.52, 64,704.76 and 11,971.76

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Solution

The fourth proportional to 43,136.52, 64,704.76 and 11,971.76 is: 17,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,136.52 : 64,704.76 = 11,971.76 : x
  2. Step 2: Convert to fraction form
    43,136.52/64,704.76 = 11,971.76/x
  3. Step 3: Cross multiply
    43,136.52x = 64,704.76 × 11,971.76
  4. Step 4: Simplify right side
    43,136.52x = 774,629,857.58
  5. Step 5: Solve for x
    x = 774,629,857.58/43,136.52
  6. Step 6: Final answer
    x = 17,957.63

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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.