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Finding the Fourth Proportional to 49,209.41, 73,703.13 and 22,858.70

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Solution

The fourth proportional to 49,209.41, 73,703.13 and 22,858.70 is: 34,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.41 : 73,703.13 = 22,858.70 : x
  2. Step 2: Convert to fraction form
    49,209.41/73,703.13 = 22,858.70/x
  3. Step 3: Cross multiply
    49,209.41x = 73,703.13 × 22,858.70
  4. Step 4: Simplify right side
    49,209.41x = 1,684,757,369.22
  5. Step 5: Solve for x
    x = 1,684,757,369.22/49,209.41
  6. Step 6: Final answer
    x = 34,236.49

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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.