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Finding the Fourth Proportional to 30,296.16, 45,451.46 and 9,519.66

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Solution

The fourth proportional to 30,296.16, 45,451.46 and 9,519.66 is: 14,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.16 : 45,451.46 = 9,519.66 : x
  2. Step 2: Convert to fraction form
    30,296.16/45,451.46 = 9,519.66/x
  3. Step 3: Cross multiply
    30,296.16x = 45,451.46 × 9,519.66
  4. Step 4: Simplify right side
    30,296.16x = 432,682,469.50
  5. Step 5: Solve for x
    x = 432,682,469.50/30,296.16
  6. Step 6: Final answer
    x = 14,281.76

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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.