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Finding the Fourth Proportional to 30,631.67, 45,947.12 and 8,444.85

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Solution

The fourth proportional to 30,631.67, 45,947.12 and 8,444.85 is: 12,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.67 : 45,947.12 = 8,444.85 : x
  2. Step 2: Convert to fraction form
    30,631.67/45,947.12 = 8,444.85/x
  3. Step 3: Cross multiply
    30,631.67x = 45,947.12 × 8,444.85
  4. Step 4: Simplify right side
    30,631.67x = 388,016,651.82
  5. Step 5: Solve for x
    x = 388,016,651.82/30,631.67
  6. Step 6: Final answer
    x = 12,667.17

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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.