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Finding the Fourth Proportional to 49,421.47, 68,202.80 and 28,202.71

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Solution

The fourth proportional to 49,421.47, 68,202.80 and 28,202.71 is: 38,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,421.47 : 68,202.80 = 28,202.71 : x
  2. Step 2: Convert to fraction form
    49,421.47/68,202.80 = 28,202.71/x
  3. Step 3: Cross multiply
    49,421.47x = 68,202.80 × 28,202.71
  4. Step 4: Simplify right side
    49,421.47x = 1,923,503,789.59
  5. Step 5: Solve for x
    x = 1,923,503,789.59/49,421.47
  6. Step 6: Final answer
    x = 38,920.41

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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.