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Finding the Fourth Proportional to 32,208, 48,338.16 and 16,630.08

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Solution

The fourth proportional to 32,208, 48,338.16 and 16,630.08 is: 24,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208 : 48,338.16 = 16,630.08 : x
  2. Step 2: Convert to fraction form
    32,208/48,338.16 = 16,630.08/x
  3. Step 3: Cross multiply
    32,208x = 48,338.16 × 16,630.08
  4. Step 4: Simplify right side
    32,208x = 803,867,467.85
  5. Step 5: Solve for x
    x = 803,867,467.85/32,208
  6. Step 6: Final answer
    x = 24,958.63

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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.