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Finding the Fourth Proportional to 32,522.66, 48,800.39 and 12,815.36

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Solution

The fourth proportional to 32,522.66, 48,800.39 and 12,815.36 is: 19,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.66 : 48,800.39 = 12,815.36 : x
  2. Step 2: Convert to fraction form
    32,522.66/48,800.39 = 12,815.36/x
  3. Step 3: Cross multiply
    32,522.66x = 48,800.39 × 12,815.36
  4. Step 4: Simplify right side
    32,522.66x = 625,394,257.91
  5. Step 5: Solve for x
    x = 625,394,257.91/32,522.66
  6. Step 6: Final answer
    x = 19,229.50

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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.