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Finding the Fourth Proportional to 106,442.36, 159,617.17 and 30,524.15

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Solution

The fourth proportional to 106,442.36, 159,617.17 and 30,524.15 is: 45,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442.36 : 159,617.17 = 30,524.15 : x
  2. Step 2: Convert to fraction form
    106,442.36/159,617.17 = 30,524.15/x
  3. Step 3: Cross multiply
    106,442.36x = 159,617.17 × 30,524.15
  4. Step 4: Simplify right side
    106,442.36x = 4,872,178,439.66
  5. Step 5: Solve for x
    x = 4,872,178,439.66/106,442.36
  6. Step 6: Final answer
    x = 45,772.93

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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.