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Finding the Fourth Proportional to 37,760.59, 56,636.98 and 12,800

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Solution

The fourth proportional to 37,760.59, 56,636.98 and 12,800 is: 19,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760.59 : 56,636.98 = 12,800 : x
  2. Step 2: Convert to fraction form
    37,760.59/56,636.98 = 12,800/x
  3. Step 3: Cross multiply
    37,760.59x = 56,636.98 × 12,800
  4. Step 4: Simplify right side
    37,760.59x = 724,953,344
  5. Step 5: Solve for x
    x = 724,953,344/37,760.59
  6. Step 6: Final answer
    x = 19,198.68

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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.