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Finding the Fourth Proportional to 37,940.61, 56,917.09 and 14,250

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Solution

The fourth proportional to 37,940.61, 56,917.09 and 14,250 is: 21,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,940.61 : 56,917.09 = 14,250 : x
  2. Step 2: Convert to fraction form
    37,940.61/56,917.09 = 14,250/x
  3. Step 3: Cross multiply
    37,940.61x = 56,917.09 × 14,250
  4. Step 4: Simplify right side
    37,940.61x = 811,068,532.50
  5. Step 5: Solve for x
    x = 811,068,532.50/37,940.61
  6. Step 6: Final answer
    x = 21,377.32

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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.