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Finding the Fourth Proportional to 30,642.88, 45,921.12 and 13,961.92

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Solution

The fourth proportional to 30,642.88, 45,921.12 and 13,961.92 is: 20,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.88 : 45,921.12 = 13,961.92 : x
  2. Step 2: Convert to fraction form
    30,642.88/45,921.12 = 13,961.92/x
  3. Step 3: Cross multiply
    30,642.88x = 45,921.12 × 13,961.92
  4. Step 4: Simplify right side
    30,642.88x = 641,147,003.75
  5. Step 5: Solve for x
    x = 641,147,003.75/30,642.88
  6. Step 6: Final answer
    x = 20,923.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.