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Finding the Fourth Proportional to 37,596.78, 56,389.50 and 12,635.82

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Solution

The fourth proportional to 37,596.78, 56,389.50 and 12,635.82 is: 18,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,596.78 : 56,389.50 = 12,635.82 : x
  2. Step 2: Convert to fraction form
    37,596.78/56,389.50 = 12,635.82/x
  3. Step 3: Cross multiply
    37,596.78x = 56,389.50 × 12,635.82
  4. Step 4: Simplify right side
    37,596.78x = 712,527,571.89
  5. Step 5: Solve for x
    x = 712,527,571.89/37,596.78
  6. Step 6: Final answer
    x = 18,951.82

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