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Finding the Fourth Proportional to 73,136, 109,704.36 and 17,732

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Solution

The fourth proportional to 73,136, 109,704.36 and 17,732 is: 26,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136 : 109,704.36 = 17,732 : x
  2. Step 2: Convert to fraction form
    73,136/109,704.36 = 17,732/x
  3. Step 3: Cross multiply
    73,136x = 109,704.36 × 17,732
  4. Step 4: Simplify right side
    73,136x = 1,945,277,711.52
  5. Step 5: Solve for x
    x = 1,945,277,711.52/73,136
  6. Step 6: Final answer
    x = 26,598.09

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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.