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Finding the Fourth Proportional to 76,643.52, 114,969.22 and 23,331.29

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Solution

The fourth proportional to 76,643.52, 114,969.22 and 23,331.29 is: 34,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.52 : 114,969.22 = 23,331.29 : x
  2. Step 2: Convert to fraction form
    76,643.52/114,969.22 = 23,331.29/x
  3. Step 3: Cross multiply
    76,643.52x = 114,969.22 × 23,331.29
  4. Step 4: Simplify right side
    76,643.52x = 2,682,380,357.66
  5. Step 5: Solve for x
    x = 2,682,380,357.66/76,643.52
  6. Step 6: Final answer
    x = 34,998.14

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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.