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Finding the Fourth Proportional to 30,537.15, 45,789.12 and 9,471.48

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Solution

The fourth proportional to 30,537.15, 45,789.12 and 9,471.48 is: 14,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.15 : 45,789.12 = 9,471.48 : x
  2. Step 2: Convert to fraction form
    30,537.15/45,789.12 = 9,471.48/x
  3. Step 3: Cross multiply
    30,537.15x = 45,789.12 × 9,471.48
  4. Step 4: Simplify right side
    30,537.15x = 433,690,734.30
  5. Step 5: Solve for x
    x = 433,690,734.30/30,537.15
  6. Step 6: Final answer
    x = 14,202.07

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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.