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Finding the Fourth Proportional to 100,097.66, 150,115.61 and 29,025.54

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Solution

The fourth proportional to 100,097.66, 150,115.61 and 29,025.54 is: 43,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.66 : 150,115.61 = 29,025.54 : x
  2. Step 2: Convert to fraction form
    100,097.66/150,115.61 = 29,025.54/x
  3. Step 3: Cross multiply
    100,097.66x = 150,115.61 × 29,025.54
  4. Step 4: Simplify right side
    100,097.66x = 4,357,186,497.55
  5. Step 5: Solve for x
    x = 4,357,186,497.55/100,097.66
  6. Step 6: Final answer
    x = 43,529.35

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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.