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Finding the Fourth Proportional to 51,836, 71,539.98 and 29,183.48

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Solution

The fourth proportional to 51,836, 71,539.98 and 29,183.48 is: 40,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836 : 71,539.98 = 29,183.48 : x
  2. Step 2: Convert to fraction form
    51,836/71,539.98 = 29,183.48/x
  3. Step 3: Cross multiply
    51,836x = 71,539.98 × 29,183.48
  4. Step 4: Simplify right side
    51,836x = 2,087,785,575.53
  5. Step 5: Solve for x
    x = 2,087,785,575.53/51,836
  6. Step 6: Final answer
    x = 40,276.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.