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Finding the Fourth Proportional to 30,638.64, 45,899.52 and 20,760.96

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Solution

The fourth proportional to 30,638.64, 45,899.52 and 20,760.96 is: 31,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.64 : 45,899.52 = 20,760.96 : x
  2. Step 2: Convert to fraction form
    30,638.64/45,899.52 = 20,760.96/x
  3. Step 3: Cross multiply
    30,638.64x = 45,899.52 × 20,760.96
  4. Step 4: Simplify right side
    30,638.64x = 952,918,098.74
  5. Step 5: Solve for x
    x = 952,918,098.74/30,638.64
  6. Step 6: Final answer
    x = 31,101.84

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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.