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Finding the Fourth Proportional to 37,132.25, 51,244.94 and 20,365.25

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Solution

The fourth proportional to 37,132.25, 51,244.94 and 20,365.25 is: 28,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,132.25 : 51,244.94 = 20,365.25 : x
  2. Step 2: Convert to fraction form
    37,132.25/51,244.94 = 20,365.25/x
  3. Step 3: Cross multiply
    37,132.25x = 51,244.94 × 20,365.25
  4. Step 4: Simplify right side
    37,132.25x = 1,043,615,912.51
  5. Step 5: Solve for x
    x = 1,043,615,912.51/37,132.25
  6. Step 6: Final answer
    x = 28,105.38

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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.