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Finding the Fourth Proportional to 32,819.32, 49,223.70 and 11,755.46

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Solution

The fourth proportional to 32,819.32, 49,223.70 and 11,755.46 is: 17,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.32 : 49,223.70 = 11,755.46 : x
  2. Step 2: Convert to fraction form
    32,819.32/49,223.70 = 11,755.46/x
  3. Step 3: Cross multiply
    32,819.32x = 49,223.70 × 11,755.46
  4. Step 4: Simplify right side
    32,819.32x = 578,647,236.40
  5. Step 5: Solve for x
    x = 578,647,236.40/32,819.32
  6. Step 6: Final answer
    x = 17,631.30

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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.