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Finding the Fourth Proportional to 37,189, 51,320.82 and 20,423.08

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Solution

The fourth proportional to 37,189, 51,320.82 and 20,423.08 is: 28,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189 : 51,320.82 = 20,423.08 : x
  2. Step 2: Convert to fraction form
    37,189/51,320.82 = 20,423.08/x
  3. Step 3: Cross multiply
    37,189x = 51,320.82 × 20,423.08
  4. Step 4: Simplify right side
    37,189x = 1,048,129,212.53
  5. Step 5: Solve for x
    x = 1,048,129,212.53/37,189
  6. Step 6: Final answer
    x = 28,183.85

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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.