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Finding the Fourth Proportional to 37,569, 51,833.48 and 21,651.30

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Solution

The fourth proportional to 37,569, 51,833.48 and 21,651.30 is: 29,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,569 : 51,833.48 = 21,651.30 : x
  2. Step 2: Convert to fraction form
    37,569/51,833.48 = 21,651.30/x
  3. Step 3: Cross multiply
    37,569x = 51,833.48 × 21,651.30
  4. Step 4: Simplify right side
    37,569x = 1,122,262,225.52
  5. Step 5: Solve for x
    x = 1,122,262,225.52/37,569
  6. Step 6: Final answer
    x = 29,872.03

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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.