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Finding the Fourth Proportional to 31,164.84, 43,007.76 and 17,018.28

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Solution

The fourth proportional to 31,164.84, 43,007.76 and 17,018.28 is: 23,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.84 : 43,007.76 = 17,018.28 : x
  2. Step 2: Convert to fraction form
    31,164.84/43,007.76 = 17,018.28/x
  3. Step 3: Cross multiply
    31,164.84x = 43,007.76 × 17,018.28
  4. Step 4: Simplify right side
    31,164.84x = 731,918,101.85
  5. Step 5: Solve for x
    x = 731,918,101.85/31,164.84
  6. Step 6: Final answer
    x = 23,485.38

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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.