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Finding the Fourth Proportional to 29,691.64, 44,536.38 and 8,914.60

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Solution

The fourth proportional to 29,691.64, 44,536.38 and 8,914.60 is: 13,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.64 : 44,536.38 = 8,914.60 : x
  2. Step 2: Convert to fraction form
    29,691.64/44,536.38 = 8,914.60/x
  3. Step 3: Cross multiply
    29,691.64x = 44,536.38 × 8,914.60
  4. Step 4: Simplify right side
    29,691.64x = 397,024,013.15
  5. Step 5: Solve for x
    x = 397,024,013.15/29,691.64
  6. Step 6: Final answer
    x = 13,371.58

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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.