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Finding the Fourth Proportional to 51,783.16, 71,505.60 and 49,126

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Solution

The fourth proportional to 51,783.16, 71,505.60 and 49,126 is: 67,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.16 : 71,505.60 = 49,126 : x
  2. Step 2: Convert to fraction form
    51,783.16/71,505.60 = 49,126/x
  3. Step 3: Cross multiply
    51,783.16x = 71,505.60 × 49,126
  4. Step 4: Simplify right side
    51,783.16x = 3,512,784,105.60
  5. Step 5: Solve for x
    x = 3,512,784,105.60/51,783.16
  6. Step 6: Final answer
    x = 67,836.42

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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.