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Finding the Fourth Proportional to 37,921.25, 52,245.86 and 26,425.32

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Solution

The fourth proportional to 37,921.25, 52,245.86 and 26,425.32 is: 36,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,921.25 : 52,245.86 = 26,425.32 : x
  2. Step 2: Convert to fraction form
    37,921.25/52,245.86 = 26,425.32/x
  3. Step 3: Cross multiply
    37,921.25x = 52,245.86 × 26,425.32
  4. Step 4: Simplify right side
    37,921.25x = 1,380,613,437.05
  5. Step 5: Solve for x
    x = 1,380,613,437.05/37,921.25
  6. Step 6: Final answer
    x = 36,407.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.