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Finding the Fourth Proportional to 32,789, 49,170.54 and 16,136.84

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Solution

The fourth proportional to 32,789, 49,170.54 and 16,136.84 is: 24,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,789 : 49,170.54 = 16,136.84 : x
  2. Step 2: Convert to fraction form
    32,789/49,170.54 = 16,136.84/x
  3. Step 3: Cross multiply
    32,789x = 49,170.54 × 16,136.84
  4. Step 4: Simplify right side
    32,789x = 793,457,136.69
  5. Step 5: Solve for x
    x = 793,457,136.69/32,789
  6. Step 6: Final answer
    x = 24,198.88

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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.