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Finding the Fourth Proportional to 38,236.96, 52,765.21 and 21,242.30

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Solution

The fourth proportional to 38,236.96, 52,765.21 and 21,242.30 is: 29,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236.96 : 52,765.21 = 21,242.30 : x
  2. Step 2: Convert to fraction form
    38,236.96/52,765.21 = 21,242.30/x
  3. Step 3: Cross multiply
    38,236.96x = 52,765.21 × 21,242.30
  4. Step 4: Simplify right side
    38,236.96x = 1,120,854,420.38
  5. Step 5: Solve for x
    x = 1,120,854,420.38/38,236.96
  6. Step 6: Final answer
    x = 29,313.38

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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.