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Finding the Fourth Proportional to 29,405.60, 44,125.76 and 11,638

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Solution

The fourth proportional to 29,405.60, 44,125.76 and 11,638 is: 17,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.60 : 44,125.76 = 11,638 : x
  2. Step 2: Convert to fraction form
    29,405.60/44,125.76 = 11,638/x
  3. Step 3: Cross multiply
    29,405.60x = 44,125.76 × 11,638
  4. Step 4: Simplify right side
    29,405.60x = 513,535,594.88
  5. Step 5: Solve for x
    x = 513,535,594.88/29,405.60
  6. Step 6: Final answer
    x = 17,463.87

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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.