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Finding the Fourth Proportional to 29,890.64, 44,836 and 7,704.08

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Solution

The fourth proportional to 29,890.64, 44,836 and 7,704.08 is: 11,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,890.64 : 44,836 = 7,704.08 : x
  2. Step 2: Convert to fraction form
    29,890.64/44,836 = 7,704.08/x
  3. Step 3: Cross multiply
    29,890.64x = 44,836 × 7,704.08
  4. Step 4: Simplify right side
    29,890.64x = 345,420,130.88
  5. Step 5: Solve for x
    x = 345,420,130.88/29,890.64
  6. Step 6: Final answer
    x = 11,556.13

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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.