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Finding the Fourth Proportional to 51,806.80, 77,825.40 and 50,424.40

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Solution

The fourth proportional to 51,806.80, 77,825.40 and 50,424.40 is: 75,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.80 : 77,825.40 = 50,424.40 : x
  2. Step 2: Convert to fraction form
    51,806.80/77,825.40 = 50,424.40/x
  3. Step 3: Cross multiply
    51,806.80x = 77,825.40 × 50,424.40
  4. Step 4: Simplify right side
    51,806.80x = 3,924,299,099.76
  5. Step 5: Solve for x
    x = 3,924,299,099.76/51,806.80
  6. Step 6: Final answer
    x = 75,748.73

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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.