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Finding the Fourth Proportional to 49,136.84, 73,704.30 and 14,071.40

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Solution

The fourth proportional to 49,136.84, 73,704.30 and 14,071.40 is: 21,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136.84 : 73,704.30 = 14,071.40 : x
  2. Step 2: Convert to fraction form
    49,136.84/73,704.30 = 14,071.40/x
  3. Step 3: Cross multiply
    49,136.84x = 73,704.30 × 14,071.40
  4. Step 4: Simplify right side
    49,136.84x = 1,037,122,687.02
  5. Step 5: Solve for x
    x = 1,037,122,687.02/49,136.84
  6. Step 6: Final answer
    x = 21,106.83

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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.