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Finding the Fourth Proportional to 29,405.12, 44,115.04 and 9,684.80

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Solution

The fourth proportional to 29,405.12, 44,115.04 and 9,684.80 is: 14,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.12 : 44,115.04 = 9,684.80 : x
  2. Step 2: Convert to fraction form
    29,405.12/44,115.04 = 9,684.80/x
  3. Step 3: Cross multiply
    29,405.12x = 44,115.04 × 9,684.80
  4. Step 4: Simplify right side
    29,405.12x = 427,245,339.39
  5. Step 5: Solve for x
    x = 427,245,339.39/29,405.12
  6. Step 6: Final answer
    x = 14,529.62

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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.