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Finding the Fourth Proportional to 53,494.97, 73,824.17 and 29,296.94

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Solution

The fourth proportional to 53,494.97, 73,824.17 and 29,296.94 is: 40,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.97 : 73,824.17 = 29,296.94 : x
  2. Step 2: Convert to fraction form
    53,494.97/73,824.17 = 29,296.94/x
  3. Step 3: Cross multiply
    53,494.97x = 73,824.17 × 29,296.94
  4. Step 4: Simplify right side
    53,494.97x = 2,162,821,763.43
  5. Step 5: Solve for x
    x = 2,162,821,763.43/53,494.97
  6. Step 6: Final answer
    x = 40,430.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.