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Finding the Fourth Proportional to 50,702.50, 76,053.76 and 13,766.50

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Solution

The fourth proportional to 50,702.50, 76,053.76 and 13,766.50 is: 20,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.50 : 76,053.76 = 13,766.50 : x
  2. Step 2: Convert to fraction form
    50,702.50/76,053.76 = 13,766.50/x
  3. Step 3: Cross multiply
    50,702.50x = 76,053.76 × 13,766.50
  4. Step 4: Simplify right side
    50,702.50x = 1,046,994,087.04
  5. Step 5: Solve for x
    x = 1,046,994,087.04/50,702.50
  6. Step 6: Final answer
    x = 20,649.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.