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Finding the Fourth Proportional to 38,960.64, 53,765.28 and 22,194

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Solution

The fourth proportional to 38,960.64, 53,765.28 and 22,194 is: 30,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960.64 : 53,765.28 = 22,194 : x
  2. Step 2: Convert to fraction form
    38,960.64/53,765.28 = 22,194/x
  3. Step 3: Cross multiply
    38,960.64x = 53,765.28 × 22,194
  4. Step 4: Simplify right side
    38,960.64x = 1,193,266,624.32
  5. Step 5: Solve for x
    x = 1,193,266,624.32/38,960.64
  6. Step 6: Final answer
    x = 30,627.49

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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.