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Finding the Fourth Proportional to 73,136.40, 109,704.60 and 41,974.80

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Solution

The fourth proportional to 73,136.40, 109,704.60 and 41,974.80 is: 62,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136.40 : 109,704.60 = 41,974.80 : x
  2. Step 2: Convert to fraction form
    73,136.40/109,704.60 = 41,974.80/x
  3. Step 3: Cross multiply
    73,136.40x = 109,704.60 × 41,974.80
  4. Step 4: Simplify right side
    73,136.40x = 4,604,828,644.08
  5. Step 5: Solve for x
    x = 4,604,828,644.08/73,136.40
  6. Step 6: Final answer
    x = 62,962.20

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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.