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Finding the Fourth Proportional to 29,099.43, 43,649.15 and 9,378.36

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Solution

The fourth proportional to 29,099.43, 43,649.15 and 9,378.36 is: 14,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099.43 : 43,649.15 = 9,378.36 : x
  2. Step 2: Convert to fraction form
    29,099.43/43,649.15 = 9,378.36/x
  3. Step 3: Cross multiply
    29,099.43x = 43,649.15 × 9,378.36
  4. Step 4: Simplify right side
    29,099.43x = 409,357,395.50
  5. Step 5: Solve for x
    x = 409,357,395.50/29,099.43
  6. Step 6: Final answer
    x = 14,067.54

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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.