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Finding the Fourth Proportional to 30,047.40, 45,032.22 and 20,171.88

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Solution

The fourth proportional to 30,047.40, 45,032.22 and 20,171.88 is: 30,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.40 : 45,032.22 = 20,171.88 : x
  2. Step 2: Convert to fraction form
    30,047.40/45,032.22 = 20,171.88/x
  3. Step 3: Cross multiply
    30,047.40x = 45,032.22 × 20,171.88
  4. Step 4: Simplify right side
    30,047.40x = 908,384,537.97
  5. Step 5: Solve for x
    x = 908,384,537.97/30,047.40
  6. Step 6: Final answer
    x = 30,231.72

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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.