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Finding the Fourth Proportional to 37,978.41, 56,962.62 and 11,680.95

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Solution

The fourth proportional to 37,978.41, 56,962.62 and 11,680.95 is: 17,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.41 : 56,962.62 = 11,680.95 : x
  2. Step 2: Convert to fraction form
    37,978.41/56,962.62 = 11,680.95/x
  3. Step 3: Cross multiply
    37,978.41x = 56,962.62 × 11,680.95
  4. Step 4: Simplify right side
    37,978.41x = 665,377,516.09
  5. Step 5: Solve for x
    x = 665,377,516.09/37,978.41
  6. Step 6: Final answer
    x = 17,519.89

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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.