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Finding the Fourth Proportional to 50,846.49, 70,126.56 and 35,789

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Solution

The fourth proportional to 50,846.49, 70,126.56 and 35,789 is: 49,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846.49 : 70,126.56 = 35,789 : x
  2. Step 2: Convert to fraction form
    50,846.49/70,126.56 = 35,789/x
  3. Step 3: Cross multiply
    50,846.49x = 70,126.56 × 35,789
  4. Step 4: Simplify right side
    50,846.49x = 2,509,759,455.84
  5. Step 5: Solve for x
    x = 2,509,759,455.84/50,846.49
  6. Step 6: Final answer
    x = 49,359.54

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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.