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Finding the Fourth Proportional to 34,020.32, 51,008.32 and 11,832

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Solution

The fourth proportional to 34,020.32, 51,008.32 and 11,832 is: 17,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.32 : 51,008.32 = 11,832 : x
  2. Step 2: Convert to fraction form
    34,020.32/51,008.32 = 11,832/x
  3. Step 3: Cross multiply
    34,020.32x = 51,008.32 × 11,832
  4. Step 4: Simplify right side
    34,020.32x = 603,530,442.24
  5. Step 5: Solve for x
    x = 603,530,442.24/34,020.32
  6. Step 6: Final answer
    x = 17,740.29

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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.