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Finding the Fourth Proportional to 51,374.28, 77,019.30 and 19,777.80

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Solution

The fourth proportional to 51,374.28, 77,019.30 and 19,777.80 is: 29,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374.28 : 77,019.30 = 19,777.80 : x
  2. Step 2: Convert to fraction form
    51,374.28/77,019.30 = 19,777.80/x
  3. Step 3: Cross multiply
    51,374.28x = 77,019.30 × 19,777.80
  4. Step 4: Simplify right side
    51,374.28x = 1,523,272,311.54
  5. Step 5: Solve for x
    x = 1,523,272,311.54/51,374.28
  6. Step 6: Final answer
    x = 29,650.48

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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.