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Finding the Fourth Proportional to 30,863.75, 46,357.14 and 29,122.97

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Solution

The fourth proportional to 30,863.75, 46,357.14 and 29,122.97 is: 43,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.75 : 46,357.14 = 29,122.97 : x
  2. Step 2: Convert to fraction form
    30,863.75/46,357.14 = 29,122.97/x
  3. Step 3: Cross multiply
    30,863.75x = 46,357.14 × 29,122.97
  4. Step 4: Simplify right side
    30,863.75x = 1,350,057,365.72
  5. Step 5: Solve for x
    x = 1,350,057,365.72/30,863.75
  6. Step 6: Final answer
    x = 43,742.50

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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.