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Finding the Fourth Proportional to 50,702.75, 76,054.14 and 13,766.75

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Solution

The fourth proportional to 50,702.75, 76,054.14 and 13,766.75 is: 20,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.75 : 76,054.14 = 13,766.75 : x
  2. Step 2: Convert to fraction form
    50,702.75/76,054.14 = 13,766.75/x
  3. Step 3: Cross multiply
    50,702.75x = 76,054.14 × 13,766.75
  4. Step 4: Simplify right side
    50,702.75x = 1,047,018,331.85
  5. Step 5: Solve for x
    x = 1,047,018,331.85/50,702.75
  6. Step 6: Final answer
    x = 20,650.13

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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.