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Finding the Fourth Proportional to 37,978.92, 56,857.68 and 22,135.50

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Solution

The fourth proportional to 37,978.92, 56,857.68 and 22,135.50 is: 33,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.92 : 56,857.68 = 22,135.50 : x
  2. Step 2: Convert to fraction form
    37,978.92/56,857.68 = 22,135.50/x
  3. Step 3: Cross multiply
    37,978.92x = 56,857.68 × 22,135.50
  4. Step 4: Simplify right side
    37,978.92x = 1,258,573,175.64
  5. Step 5: Solve for x
    x = 1,258,573,175.64/37,978.92
  6. Step 6: Final answer
    x = 33,138.73

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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.