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Finding the Fourth Proportional to 37,758.88, 52,102.20 and 21,837.52

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Solution

The fourth proportional to 37,758.88, 52,102.20 and 21,837.52 is: 30,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.88 : 52,102.20 = 21,837.52 : x
  2. Step 2: Convert to fraction form
    37,758.88/52,102.20 = 21,837.52/x
  3. Step 3: Cross multiply
    37,758.88x = 52,102.20 × 21,837.52
  4. Step 4: Simplify right side
    37,758.88x = 1,137,782,834.54
  5. Step 5: Solve for x
    x = 1,137,782,834.54/37,758.88
  6. Step 6: Final answer
    x = 30,132.85

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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.