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Finding the Fourth Proportional to 37,340, 56,014.32 and 12,383.36

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Solution

The fourth proportional to 37,340, 56,014.32 and 12,383.36 is: 18,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,340 : 56,014.32 = 12,383.36 : x
  2. Step 2: Convert to fraction form
    37,340/56,014.32 = 12,383.36/x
  3. Step 3: Cross multiply
    37,340x = 56,014.32 × 12,383.36
  4. Step 4: Simplify right side
    37,340x = 693,645,489.72
  5. Step 5: Solve for x
    x = 693,645,489.72/37,340
  6. Step 6: Final answer
    x = 18,576.47

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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.