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Finding the Fourth Proportional to 37,552.50, 51,834 and 21,647.58

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Solution

The fourth proportional to 37,552.50, 51,834 and 21,647.58 is: 29,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,552.50 : 51,834 = 21,647.58 : x
  2. Step 2: Convert to fraction form
    37,552.50/51,834 = 21,647.58/x
  3. Step 3: Cross multiply
    37,552.50x = 51,834 × 21,647.58
  4. Step 4: Simplify right side
    37,552.50x = 1,122,080,661.72
  5. Step 5: Solve for x
    x = 1,122,080,661.72/37,552.50
  6. Step 6: Final answer
    x = 29,880.32

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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.