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Finding the Fourth Proportional to 34,136.86, 51,228.35 and 11,950.42

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Solution

The fourth proportional to 34,136.86, 51,228.35 and 11,950.42 is: 17,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136.86 : 51,228.35 = 11,950.42 : x
  2. Step 2: Convert to fraction form
    34,136.86/51,228.35 = 11,950.42/x
  3. Step 3: Cross multiply
    34,136.86x = 51,228.35 × 11,950.42
  4. Step 4: Simplify right side
    34,136.86x = 612,200,298.41
  5. Step 5: Solve for x
    x = 612,200,298.41/34,136.86
  6. Step 6: Final answer
    x = 17,933.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.