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Finding the Fourth Proportional to 83,679.27, 115,444 and 53,456.75

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Solution

The fourth proportional to 83,679.27, 115,444 and 53,456.75 is: 73,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,679.27 : 115,444 = 53,456.75 : x
  2. Step 2: Convert to fraction form
    83,679.27/115,444 = 53,456.75/x
  3. Step 3: Cross multiply
    83,679.27x = 115,444 × 53,456.75
  4. Step 4: Simplify right side
    83,679.27x = 6,171,261,047
  5. Step 5: Solve for x
    x = 6,171,261,047/83,679.27
  6. Step 6: Final answer
    x = 73,748.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.