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Finding the Fourth Proportional to 29,097.60, 43,648.91 and 8,037.63

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Solution

The fourth proportional to 29,097.60, 43,648.91 and 8,037.63 is: 12,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.60 : 43,648.91 = 8,037.63 : x
  2. Step 2: Convert to fraction form
    29,097.60/43,648.91 = 8,037.63/x
  3. Step 3: Cross multiply
    29,097.60x = 43,648.91 × 8,037.63
  4. Step 4: Simplify right side
    29,097.60x = 350,833,778.44
  5. Step 5: Solve for x
    x = 350,833,778.44/29,097.60
  6. Step 6: Final answer
    x = 12,057.14

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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.