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Finding the Fourth Proportional to 37,177.90, 51,305.88 and 20,182.28

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Solution

The fourth proportional to 37,177.90, 51,305.88 and 20,182.28 is: 27,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,177.90 : 51,305.88 = 20,182.28 : x
  2. Step 2: Convert to fraction form
    37,177.90/51,305.88 = 20,182.28/x
  3. Step 3: Cross multiply
    37,177.90x = 51,305.88 × 20,182.28
  4. Step 4: Simplify right side
    37,177.90x = 1,035,469,635.81
  5. Step 5: Solve for x
    x = 1,035,469,635.81/37,177.90
  6. Step 6: Final answer
    x = 27,851.75

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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.