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Finding the Fourth Proportional to 37,045.40, 51,122.25 and 20,049.30

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Solution

The fourth proportional to 37,045.40, 51,122.25 and 20,049.30 is: 27,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.40 : 51,122.25 = 20,049.30 : x
  2. Step 2: Convert to fraction form
    37,045.40/51,122.25 = 20,049.30/x
  3. Step 3: Cross multiply
    37,045.40x = 51,122.25 × 20,049.30
  4. Step 4: Simplify right side
    37,045.40x = 1,024,965,326.93
  5. Step 5: Solve for x
    x = 1,024,965,326.93/37,045.40
  6. Step 6: Final answer
    x = 27,667.82

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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.