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Finding the Fourth Proportional to 53,824.40, 80,765.40 and 22,662.80

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Solution

The fourth proportional to 53,824.40, 80,765.40 and 22,662.80 is: 34,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,824.40 : 80,765.40 = 22,662.80 : x
  2. Step 2: Convert to fraction form
    53,824.40/80,765.40 = 22,662.80/x
  3. Step 3: Cross multiply
    53,824.40x = 80,765.40 × 22,662.80
  4. Step 4: Simplify right side
    53,824.40x = 1,830,370,107.12
  5. Step 5: Solve for x
    x = 1,830,370,107.12/53,824.40
  6. Step 6: Final answer
    x = 34,006.33

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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.