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Finding the Fourth Proportional to 71,166, 98,205.27 and 39,333

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Solution

The fourth proportional to 71,166, 98,205.27 and 39,333 is: 54,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166 : 98,205.27 = 39,333 : x
  2. Step 2: Convert to fraction form
    71,166/98,205.27 = 39,333/x
  3. Step 3: Cross multiply
    71,166x = 98,205.27 × 39,333
  4. Step 4: Simplify right side
    71,166x = 3,862,707,884.91
  5. Step 5: Solve for x
    x = 3,862,707,884.91/71,166
  6. Step 6: Final answer
    x = 54,277.43

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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.