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Finding the Fourth Proportional to 34,092.80, 51,072.24 and 30,377.60

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Solution

The fourth proportional to 34,092.80, 51,072.24 and 30,377.60 is: 45,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092.80 : 51,072.24 = 30,377.60 : x
  2. Step 2: Convert to fraction form
    34,092.80/51,072.24 = 30,377.60/x
  3. Step 3: Cross multiply
    34,092.80x = 51,072.24 × 30,377.60
  4. Step 4: Simplify right side
    34,092.80x = 1,551,452,077.82
  5. Step 5: Solve for x
    x = 1,551,452,077.82/34,092.80
  6. Step 6: Final answer
    x = 45,506.74

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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.