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Finding the Fourth Proportional to 49,426.96, 68,209.64 and 28,206

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Solution

The fourth proportional to 49,426.96, 68,209.64 and 28,206 is: 38,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,426.96 : 68,209.64 = 28,206 : x
  2. Step 2: Convert to fraction form
    49,426.96/68,209.64 = 28,206/x
  3. Step 3: Cross multiply
    49,426.96x = 68,209.64 × 28,206
  4. Step 4: Simplify right side
    49,426.96x = 1,923,921,105.84
  5. Step 5: Solve for x
    x = 1,923,921,105.84/49,426.96
  6. Step 6: Final answer
    x = 38,924.53

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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.