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Finding the Fourth Proportional to 57,416, 79,236.71 and 31,924.96

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Solution

The fourth proportional to 57,416, 79,236.71 and 31,924.96 is: 44,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416 : 79,236.71 = 31,924.96 : x
  2. Step 2: Convert to fraction form
    57,416/79,236.71 = 31,924.96/x
  3. Step 3: Cross multiply
    57,416x = 79,236.71 × 31,924.96
  4. Step 4: Simplify right side
    57,416x = 2,529,628,797.28
  5. Step 5: Solve for x
    x = 2,529,628,797.28/57,416
  6. Step 6: Final answer
    x = 44,057.91

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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.