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Finding the Fourth Proportional to 41,209.67, 56,869.38 and 22,346.80

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Solution

The fourth proportional to 41,209.67, 56,869.38 and 22,346.80 is: 30,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.67 : 56,869.38 = 22,346.80 : x
  2. Step 2: Convert to fraction form
    41,209.67/56,869.38 = 22,346.80/x
  3. Step 3: Cross multiply
    41,209.67x = 56,869.38 × 22,346.80
  4. Step 4: Simplify right side
    41,209.67x = 1,270,848,518.81
  5. Step 5: Solve for x
    x = 1,270,848,518.81/41,209.67
  6. Step 6: Final answer
    x = 30,838.60

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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.