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Finding the Fourth Proportional to 120,497.92, 180,736.80 and 37,384

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Solution

The fourth proportional to 120,497.92, 180,736.80 and 37,384 is: 56,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.92 : 180,736.80 = 37,384 : x
  2. Step 2: Convert to fraction form
    120,497.92/180,736.80 = 37,384/x
  3. Step 3: Cross multiply
    120,497.92x = 180,736.80 × 37,384
  4. Step 4: Simplify right side
    120,497.92x = 6,756,664,531.20
  5. Step 5: Solve for x
    x = 6,756,664,531.20/120,497.92
  6. Step 6: Final answer
    x = 56,072.87

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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.