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Finding the Fourth Proportional to 35,896.75, 53,852.90 and 10,936.15

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Solution

The fourth proportional to 35,896.75, 53,852.90 and 10,936.15 is: 16,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.75 : 53,852.90 = 10,936.15 : x
  2. Step 2: Convert to fraction form
    35,896.75/53,852.90 = 10,936.15/x
  3. Step 3: Cross multiply
    35,896.75x = 53,852.90 × 10,936.15
  4. Step 4: Simplify right side
    35,896.75x = 588,943,203.02
  5. Step 5: Solve for x
    x = 588,943,203.02/35,896.75
  6. Step 6: Final answer
    x = 16,406.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.