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Finding the Fourth Proportional to 51,722.76, 77,607.18 and 27,093

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Solution

The fourth proportional to 51,722.76, 77,607.18 and 27,093 is: 40,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.76 : 77,607.18 = 27,093 : x
  2. Step 2: Convert to fraction form
    51,722.76/77,607.18 = 27,093/x
  3. Step 3: Cross multiply
    51,722.76x = 77,607.18 × 27,093
  4. Step 4: Simplify right side
    51,722.76x = 2,102,611,327.74
  5. Step 5: Solve for x
    x = 2,102,611,327.74/51,722.76
  6. Step 6: Final answer
    x = 40,651.57

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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.