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Finding the Fourth Proportional to 32,651.35, 48,995.48 and 13,929.62

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Solution

The fourth proportional to 32,651.35, 48,995.48 and 13,929.62 is: 20,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.35 : 48,995.48 = 13,929.62 : x
  2. Step 2: Convert to fraction form
    32,651.35/48,995.48 = 13,929.62/x
  3. Step 3: Cross multiply
    32,651.35x = 48,995.48 × 13,929.62
  4. Step 4: Simplify right side
    32,651.35x = 682,488,173.14
  5. Step 5: Solve for x
    x = 682,488,173.14/32,651.35
  6. Step 6: Final answer
    x = 20,902.30

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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.