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Finding the Fourth Proportional to 76,418.40, 114,639.12 and 23,832

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Solution

The fourth proportional to 76,418.40, 114,639.12 and 23,832 is: 35,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,418.40 : 114,639.12 = 23,832 : x
  2. Step 2: Convert to fraction form
    76,418.40/114,639.12 = 23,832/x
  3. Step 3: Cross multiply
    76,418.40x = 114,639.12 × 23,832
  4. Step 4: Simplify right side
    76,418.40x = 2,732,079,507.84
  5. Step 5: Solve for x
    x = 2,732,079,507.84/76,418.40
  6. Step 6: Final answer
    x = 35,751.59

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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.