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Finding the Fourth Proportional to 67,136.90, 100,705.35 and 31,969.94

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Solution

The fourth proportional to 67,136.90, 100,705.35 and 31,969.94 is: 47,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,136.90 : 100,705.35 = 31,969.94 : x
  2. Step 2: Convert to fraction form
    67,136.90/100,705.35 = 31,969.94/x
  3. Step 3: Cross multiply
    67,136.90x = 100,705.35 × 31,969.94
  4. Step 4: Simplify right side
    67,136.90x = 3,219,543,493.65
  5. Step 5: Solve for x
    x = 3,219,543,493.65/67,136.90
  6. Step 6: Final answer
    x = 47,954.91

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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.