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Finding the Fourth Proportional to 51,136, 76,704.96 and 14,200.96

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Solution

The fourth proportional to 51,136, 76,704.96 and 14,200.96 is: 21,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136 : 76,704.96 = 14,200.96 : x
  2. Step 2: Convert to fraction form
    51,136/76,704.96 = 14,200.96/x
  3. Step 3: Cross multiply
    51,136x = 76,704.96 × 14,200.96
  4. Step 4: Simplify right side
    51,136x = 1,089,284,068.76
  5. Step 5: Solve for x
    x = 1,089,284,068.76/51,136
  6. Step 6: Final answer
    x = 21,301.71

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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.