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Finding the Fourth Proportional to 35,982.94, 53,978 and 11,022.70

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Solution

The fourth proportional to 35,982.94, 53,978 and 11,022.70 is: 16,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.94 : 53,978 = 11,022.70 : x
  2. Step 2: Convert to fraction form
    35,982.94/53,978 = 11,022.70/x
  3. Step 3: Cross multiply
    35,982.94x = 53,978 × 11,022.70
  4. Step 4: Simplify right side
    35,982.94x = 594,983,300.60
  5. Step 5: Solve for x
    x = 594,983,300.60/35,982.94
  6. Step 6: Final answer
    x = 16,535.15

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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.