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Finding the Fourth Proportional to 37,546.34, 51,758.73 and 28,578.22

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Solution

The fourth proportional to 37,546.34, 51,758.73 and 28,578.22 is: 39,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546.34 : 51,758.73 = 28,578.22 : x
  2. Step 2: Convert to fraction form
    37,546.34/51,758.73 = 28,578.22/x
  3. Step 3: Cross multiply
    37,546.34x = 51,758.73 × 28,578.22
  4. Step 4: Simplify right side
    37,546.34x = 1,479,172,243.46
  5. Step 5: Solve for x
    x = 1,479,172,243.46/37,546.34
  6. Step 6: Final answer
    x = 39,395.92

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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.