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Finding the Fourth Proportional to 33,254.69, 45,897.17 and 31,759.97

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Solution

The fourth proportional to 33,254.69, 45,897.17 and 31,759.97 is: 43,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.69 : 45,897.17 = 31,759.97 : x
  2. Step 2: Convert to fraction form
    33,254.69/45,897.17 = 31,759.97/x
  3. Step 3: Cross multiply
    33,254.69x = 45,897.17 × 31,759.97
  4. Step 4: Simplify right side
    33,254.69x = 1,457,692,354.00
  5. Step 5: Solve for x
    x = 1,457,692,354.00/33,254.69
  6. Step 6: Final answer
    x = 43,834.20

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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.