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Finding the Fourth Proportional to 30,460.32, 45,694.26 and 10,734.93

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Solution

The fourth proportional to 30,460.32, 45,694.26 and 10,734.93 is: 16,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.32 : 45,694.26 = 10,734.93 : x
  2. Step 2: Convert to fraction form
    30,460.32/45,694.26 = 10,734.93/x
  3. Step 3: Cross multiply
    30,460.32x = 45,694.26 × 10,734.93
  4. Step 4: Simplify right side
    30,460.32x = 490,524,682.50
  5. Step 5: Solve for x
    x = 490,524,682.50/30,460.32
  6. Step 6: Final answer
    x = 16,103.73

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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.