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Finding the Fourth Proportional to 71,654.44, 98,886.90 and 39,823.96

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Solution

The fourth proportional to 71,654.44, 98,886.90 and 39,823.96 is: 54,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.44 : 98,886.90 = 39,823.96 : x
  2. Step 2: Convert to fraction form
    71,654.44/98,886.90 = 39,823.96/x
  3. Step 3: Cross multiply
    71,654.44x = 98,886.90 × 39,823.96
  4. Step 4: Simplify right side
    71,654.44x = 3,938,067,950.12
  5. Step 5: Solve for x
    x = 3,938,067,950.12/71,654.44
  6. Step 6: Final answer
    x = 54,959.16

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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.