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Finding the Fourth Proportional to 57,744, 86,619.29 and 16,194.24

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Solution

The fourth proportional to 57,744, 86,619.29 and 16,194.24 is: 24,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744 : 86,619.29 = 16,194.24 : x
  2. Step 2: Convert to fraction form
    57,744/86,619.29 = 16,194.24/x
  3. Step 3: Cross multiply
    57,744x = 86,619.29 × 16,194.24
  4. Step 4: Simplify right side
    57,744x = 1,402,733,489.92
  5. Step 5: Solve for x
    x = 1,402,733,489.92/57,744
  6. Step 6: Final answer
    x = 24,292.28

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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.