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Finding the Fourth Proportional to 30,474.25, 45,728.80 and 16,434.17

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Solution

The fourth proportional to 30,474.25, 45,728.80 and 16,434.17 is: 24,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.25 : 45,728.80 = 16,434.17 : x
  2. Step 2: Convert to fraction form
    30,474.25/45,728.80 = 16,434.17/x
  3. Step 3: Cross multiply
    30,474.25x = 45,728.80 × 16,434.17
  4. Step 4: Simplify right side
    30,474.25x = 751,514,738.68
  5. Step 5: Solve for x
    x = 751,514,738.68/30,474.25
  6. Step 6: Final answer
    x = 24,660.65

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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.