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Finding the Fourth Proportional to 37,077.96, 51,167.10 and 20,311.08

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Solution

The fourth proportional to 37,077.96, 51,167.10 and 20,311.08 is: 28,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077.96 : 51,167.10 = 20,311.08 : x
  2. Step 2: Convert to fraction form
    37,077.96/51,167.10 = 20,311.08/x
  3. Step 3: Cross multiply
    37,077.96x = 51,167.10 × 20,311.08
  4. Step 4: Simplify right side
    37,077.96x = 1,039,259,061.47
  5. Step 5: Solve for x
    x = 1,039,259,061.47/37,077.96
  6. Step 6: Final answer
    x = 28,029.02

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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.