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Finding the Fourth Proportional to 30,433.92, 45,643.58 and 10,441.09

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Solution

The fourth proportional to 30,433.92, 45,643.58 and 10,441.09 is: 15,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.92 : 45,643.58 = 10,441.09 : x
  2. Step 2: Convert to fraction form
    30,433.92/45,643.58 = 10,441.09/x
  3. Step 3: Cross multiply
    30,433.92x = 45,643.58 × 10,441.09
  4. Step 4: Simplify right side
    30,433.92x = 476,568,726.70
  5. Step 5: Solve for x
    x = 476,568,726.70/30,433.92
  6. Step 6: Final answer
    x = 15,659.13

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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.