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Finding the Fourth Proportional to 24,491.70, 36,782.10 and 21,429.90

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Solution

The fourth proportional to 24,491.70, 36,782.10 and 21,429.90 is: 32,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.70 : 36,782.10 = 21,429.90 : x
  2. Step 2: Convert to fraction form
    24,491.70/36,782.10 = 21,429.90/x
  3. Step 3: Cross multiply
    24,491.70x = 36,782.10 × 21,429.90
  4. Step 4: Simplify right side
    24,491.70x = 788,236,724.79
  5. Step 5: Solve for x
    x = 788,236,724.79/24,491.70
  6. Step 6: Final answer
    x = 32,183.83

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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.