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Finding the Fourth Proportional to 71,653.44, 98,885.52 and 39,822.96

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Solution

The fourth proportional to 71,653.44, 98,885.52 and 39,822.96 is: 54,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,653.44 : 98,885.52 = 39,822.96 : x
  2. Step 2: Convert to fraction form
    71,653.44/98,885.52 = 39,822.96/x
  3. Step 3: Cross multiply
    71,653.44x = 98,885.52 × 39,822.96
  4. Step 4: Simplify right side
    71,653.44x = 3,937,914,107.54
  5. Step 5: Solve for x
    x = 3,937,914,107.54/71,653.44
  6. Step 6: Final answer
    x = 54,957.78

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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.