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Finding the Fourth Proportional to 38,025.96, 52,471.22 and 21,027.90

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Solution

The fourth proportional to 38,025.96, 52,471.22 and 21,027.90 is: 29,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025.96 : 52,471.22 = 21,027.90 : x
  2. Step 2: Convert to fraction form
    38,025.96/52,471.22 = 21,027.90/x
  3. Step 3: Cross multiply
    38,025.96x = 52,471.22 × 21,027.90
  4. Step 4: Simplify right side
    38,025.96x = 1,103,359,567.04
  5. Step 5: Solve for x
    x = 1,103,359,567.04/38,025.96
  6. Step 6: Final answer
    x = 29,015.96

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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.