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Finding the Fourth Proportional to 31,057.47, 42,859.58 and 16,910.33

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Solution

The fourth proportional to 31,057.47, 42,859.58 and 16,910.33 is: 23,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.47 : 42,859.58 = 16,910.33 : x
  2. Step 2: Convert to fraction form
    31,057.47/42,859.58 = 16,910.33/x
  3. Step 3: Cross multiply
    31,057.47x = 42,859.58 × 16,910.33
  4. Step 4: Simplify right side
    31,057.47x = 724,769,342.61
  5. Step 5: Solve for x
    x = 724,769,342.61/31,057.47
  6. Step 6: Final answer
    x = 23,336.39

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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.