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Finding the Fourth Proportional to 84,498, 126,808.06 and 33,214.31

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Solution

The fourth proportional to 84,498, 126,808.06 and 33,214.31 is: 49,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498 : 126,808.06 = 33,214.31 : x
  2. Step 2: Convert to fraction form
    84,498/126,808.06 = 33,214.31/x
  3. Step 3: Cross multiply
    84,498x = 126,808.06 × 33,214.31
  4. Step 4: Simplify right side
    84,498x = 4,211,841,498.26
  5. Step 5: Solve for x
    x = 4,211,841,498.26/84,498
  6. Step 6: Final answer
    x = 49,845.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.