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Finding the Fourth Proportional to 51,538.50, 77,310.08 and 14,097.73

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Solution

The fourth proportional to 51,538.50, 77,310.08 and 14,097.73 is: 21,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538.50 : 77,310.08 = 14,097.73 : x
  2. Step 2: Convert to fraction form
    51,538.50/77,310.08 = 14,097.73/x
  3. Step 3: Cross multiply
    51,538.50x = 77,310.08 × 14,097.73
  4. Step 4: Simplify right side
    51,538.50x = 1,089,896,634.12
  5. Step 5: Solve for x
    x = 1,089,896,634.12/51,538.50
  6. Step 6: Final answer
    x = 21,147.23

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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.