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Finding the Fourth Proportional to 39,772.96, 54,888 and 21,868.60

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Solution

The fourth proportional to 39,772.96, 54,888 and 21,868.60 is: 30,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772.96 : 54,888 = 21,868.60 : x
  2. Step 2: Convert to fraction form
    39,772.96/54,888 = 21,868.60/x
  3. Step 3: Cross multiply
    39,772.96x = 54,888 × 21,868.60
  4. Step 4: Simplify right side
    39,772.96x = 1,200,323,716.80
  5. Step 5: Solve for x
    x = 1,200,323,716.80/39,772.96
  6. Step 6: Final answer
    x = 30,179.39

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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.