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Finding the Fourth Proportional to 29,099.74, 43,649.64 and 8,323.24

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Solution

The fourth proportional to 29,099.74, 43,649.64 and 8,323.24 is: 12,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099.74 : 43,649.64 = 8,323.24 : x
  2. Step 2: Convert to fraction form
    29,099.74/43,649.64 = 8,323.24/x
  3. Step 3: Cross multiply
    29,099.74x = 43,649.64 × 8,323.24
  4. Step 4: Simplify right side
    29,099.74x = 363,306,429.63
  5. Step 5: Solve for x
    x = 363,306,429.63/29,099.74
  6. Step 6: Final answer
    x = 12,484.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.