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Finding the Fourth Proportional to 50,702.25, 76,053.39 and 13,766.25

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Solution

The fourth proportional to 50,702.25, 76,053.39 and 13,766.25 is: 20,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.25 : 76,053.39 = 13,766.25 : x
  2. Step 2: Convert to fraction form
    50,702.25/76,053.39 = 13,766.25/x
  3. Step 3: Cross multiply
    50,702.25x = 76,053.39 × 13,766.25
  4. Step 4: Simplify right side
    50,702.25x = 1,046,969,980.09
  5. Step 5: Solve for x
    x = 1,046,969,980.09/50,702.25
  6. Step 6: Final answer
    x = 20,649.38

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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.