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Finding the Fourth Proportional to 36,986, 51,041.76 and 20,220.08

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Solution

The fourth proportional to 36,986, 51,041.76 and 20,220.08 is: 27,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986 : 51,041.76 = 20,220.08 : x
  2. Step 2: Convert to fraction form
    36,986/51,041.76 = 20,220.08/x
  3. Step 3: Cross multiply
    36,986x = 51,041.76 × 20,220.08
  4. Step 4: Simplify right side
    36,986x = 1,032,068,470.54
  5. Step 5: Solve for x
    x = 1,032,068,470.54/36,986
  6. Step 6: Final answer
    x = 27,904.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.