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Finding the Fourth Proportional to 37,189.44, 51,300 and 22,276.80

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Solution

The fourth proportional to 37,189.44, 51,300 and 22,276.80 is: 30,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.44 : 51,300 = 22,276.80 : x
  2. Step 2: Convert to fraction form
    37,189.44/51,300 = 22,276.80/x
  3. Step 3: Cross multiply
    37,189.44x = 51,300 × 22,276.80
  4. Step 4: Simplify right side
    37,189.44x = 1,142,799,840
  5. Step 5: Solve for x
    x = 1,142,799,840/37,189.44
  6. Step 6: Final answer
    x = 30,729.15

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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.