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Finding the Fourth Proportional to 51,534.49, 77,304.07 and 14,093.73

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Solution

The fourth proportional to 51,534.49, 77,304.07 and 14,093.73 is: 21,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,534.49 : 77,304.07 = 14,093.73 : x
  2. Step 2: Convert to fraction form
    51,534.49/77,304.07 = 14,093.73/x
  3. Step 3: Cross multiply
    51,534.49x = 77,304.07 × 14,093.73
  4. Step 4: Simplify right side
    51,534.49x = 1,089,503,034.22
  5. Step 5: Solve for x
    x = 1,089,503,034.22/51,534.49
  6. Step 6: Final answer
    x = 21,141.24

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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.