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Finding the Fourth Proportional to 32,006.20, 48,009.30 and 29,819.20

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Solution

The fourth proportional to 32,006.20, 48,009.30 and 29,819.20 is: 44,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.20 : 48,009.30 = 29,819.20 : x
  2. Step 2: Convert to fraction form
    32,006.20/48,009.30 = 29,819.20/x
  3. Step 3: Cross multiply
    32,006.20x = 48,009.30 × 29,819.20
  4. Step 4: Simplify right side
    32,006.20x = 1,431,598,918.56
  5. Step 5: Solve for x
    x = 1,431,598,918.56/32,006.20
  6. Step 6: Final answer
    x = 44,728.80

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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.