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Finding the Fourth Proportional to 32,195.27, 48,292.39 and 8,821.71

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Solution

The fourth proportional to 32,195.27, 48,292.39 and 8,821.71 is: 13,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.27 : 48,292.39 = 8,821.71 : x
  2. Step 2: Convert to fraction form
    32,195.27/48,292.39 = 8,821.71/x
  3. Step 3: Cross multiply
    32,195.27x = 48,292.39 × 8,821.71
  4. Step 4: Simplify right side
    32,195.27x = 426,021,432.50
  5. Step 5: Solve for x
    x = 426,021,432.50/32,195.27
  6. Step 6: Final answer
    x = 13,232.42

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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.