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Finding the Fourth Proportional to 30,469.92, 45,677.43 and 10,744.98

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Solution

The fourth proportional to 30,469.92, 45,677.43 and 10,744.98 is: 16,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.92 : 45,677.43 = 10,744.98 : x
  2. Step 2: Convert to fraction form
    30,469.92/45,677.43 = 10,744.98/x
  3. Step 3: Cross multiply
    30,469.92x = 45,677.43 × 10,744.98
  4. Step 4: Simplify right side
    30,469.92x = 490,803,071.80
  5. Step 5: Solve for x
    x = 490,803,071.80/30,469.92
  6. Step 6: Final answer
    x = 16,107.79

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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.