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Finding the Fourth Proportional to 35,833.94, 49,286.43 and 28,744.82

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Solution

The fourth proportional to 35,833.94, 49,286.43 and 28,744.82 is: 39,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.94 : 49,286.43 = 28,744.82 : x
  2. Step 2: Convert to fraction form
    35,833.94/49,286.43 = 28,744.82/x
  3. Step 3: Cross multiply
    35,833.94x = 49,286.43 × 28,744.82
  4. Step 4: Simplify right side
    35,833.94x = 1,416,729,312.36
  5. Step 5: Solve for x
    x = 1,416,729,312.36/35,833.94
  6. Step 6: Final answer
    x = 39,535.97

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Why These Related Problems?

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