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Finding the Fourth Proportional to 30,474.92, 45,729.79 and 16,434.85

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Solution

The fourth proportional to 30,474.92, 45,729.79 and 16,434.85 is: 24,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.92 : 45,729.79 = 16,434.85 : x
  2. Step 2: Convert to fraction form
    30,474.92/45,729.79 = 16,434.85/x
  3. Step 3: Cross multiply
    30,474.92x = 45,729.79 × 16,434.85
  4. Step 4: Simplify right side
    30,474.92x = 751,562,083.77
  5. Step 5: Solve for x
    x = 751,562,083.77/30,474.92
  6. Step 6: Final answer
    x = 24,661.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.