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Finding the Fourth Proportional to 29,097.13, 43,648.22 and 8,037.20

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Solution

The fourth proportional to 29,097.13, 43,648.22 and 8,037.20 is: 12,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.13 : 43,648.22 = 8,037.20 : x
  2. Step 2: Convert to fraction form
    29,097.13/43,648.22 = 8,037.20/x
  3. Step 3: Cross multiply
    29,097.13x = 43,648.22 × 8,037.20
  4. Step 4: Simplify right side
    29,097.13x = 350,809,473.78
  5. Step 5: Solve for x
    x = 350,809,473.78/29,097.13
  6. Step 6: Final answer
    x = 12,056.50

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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.