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Finding the Fourth Proportional to 48,677, 73,015.50 and 11,741

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Solution

The fourth proportional to 48,677, 73,015.50 and 11,741 is: 17,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677 : 73,015.50 = 11,741 : x
  2. Step 2: Convert to fraction form
    48,677/73,015.50 = 11,741/x
  3. Step 3: Cross multiply
    48,677x = 73,015.50 × 11,741
  4. Step 4: Simplify right side
    48,677x = 857,274,985.50
  5. Step 5: Solve for x
    x = 857,274,985.50/48,677
  6. Step 6: Final answer
    x = 17,611.50

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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.