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Finding the Fourth Proportional to 30,755.78, 42,444.38 and 17,144.71

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Solution

The fourth proportional to 30,755.78, 42,444.38 and 17,144.71 is: 23,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.78 : 42,444.38 = 17,144.71 : x
  2. Step 2: Convert to fraction form
    30,755.78/42,444.38 = 17,144.71/x
  3. Step 3: Cross multiply
    30,755.78x = 42,444.38 × 17,144.71
  4. Step 4: Simplify right side
    30,755.78x = 727,696,713.51
  5. Step 5: Solve for x
    x = 727,696,713.51/30,755.78
  6. Step 6: Final answer
    x = 23,660.49

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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.