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Finding the Fourth Proportional to 29,819.64, 44,735.96 and 9,044.76

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Solution

The fourth proportional to 29,819.64, 44,735.96 and 9,044.76 is: 13,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.64 : 44,735.96 = 9,044.76 : x
  2. Step 2: Convert to fraction form
    29,819.64/44,735.96 = 9,044.76/x
  3. Step 3: Cross multiply
    29,819.64x = 44,735.96 × 9,044.76
  4. Step 4: Simplify right side
    29,819.64x = 404,626,021.57
  5. Step 5: Solve for x
    x = 404,626,021.57/29,819.64
  6. Step 6: Final answer
    x = 13,569.11

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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.