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Finding the Fourth Proportional to 37,940.76, 56,919.60 and 11,648.16

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Solution

The fourth proportional to 37,940.76, 56,919.60 and 11,648.16 is: 17,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940.76 : 56,919.60 = 11,648.16 : x
  2. Step 2: Convert to fraction form
    37,940.76/56,919.60 = 11,648.16/x
  3. Step 3: Cross multiply
    37,940.76x = 56,919.60 × 11,648.16
  4. Step 4: Simplify right side
    37,940.76x = 663,008,607.94
  5. Step 5: Solve for x
    x = 663,008,607.94/37,940.76
  6. Step 6: Final answer
    x = 17,474.84

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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.