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Finding the Fourth Proportional to 37,757.45, 56,635.92 and 12,815.06

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Solution

The fourth proportional to 37,757.45, 56,635.92 and 12,815.06 is: 19,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.45 : 56,635.92 = 12,815.06 : x
  2. Step 2: Convert to fraction form
    37,757.45/56,635.92 = 12,815.06/x
  3. Step 3: Cross multiply
    37,757.45x = 56,635.92 × 12,815.06
  4. Step 4: Simplify right side
    37,757.45x = 725,792,712.96
  5. Step 5: Solve for x
    x = 725,792,712.96/37,757.45
  6. Step 6: Final answer
    x = 19,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.