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Finding the Fourth Proportional to 35,923.92, 49,571.84 and 20,811.75

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Solution

The fourth proportional to 35,923.92, 49,571.84 and 20,811.75 is: 28,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,923.92 : 49,571.84 = 20,811.75 : x
  2. Step 2: Convert to fraction form
    35,923.92/49,571.84 = 20,811.75/x
  3. Step 3: Cross multiply
    35,923.92x = 49,571.84 × 20,811.75
  4. Step 4: Simplify right side
    35,923.92x = 1,031,676,637.06
  5. Step 5: Solve for x
    x = 1,031,676,637.06/35,923.92
  6. Step 6: Final answer
    x = 28,718.38

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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.