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Finding the Fourth Proportional to 31,551.20, 43,406.48 and 30,676.40

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Solution

The fourth proportional to 31,551.20, 43,406.48 and 30,676.40 is: 42,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.20 : 43,406.48 = 30,676.40 : x
  2. Step 2: Convert to fraction form
    31,551.20/43,406.48 = 30,676.40/x
  3. Step 3: Cross multiply
    31,551.20x = 43,406.48 × 30,676.40
  4. Step 4: Simplify right side
    31,551.20x = 1,331,554,543.07
  5. Step 5: Solve for x
    x = 1,331,554,543.07/31,551.20
  6. Step 6: Final answer
    x = 42,202.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.