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Finding the Fourth Proportional to 53,086.56, 73,228.98 and 33,180

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Solution

The fourth proportional to 53,086.56, 73,228.98 and 33,180 is: 45,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,086.56 : 73,228.98 = 33,180 : x
  2. Step 2: Convert to fraction form
    53,086.56/73,228.98 = 33,180/x
  3. Step 3: Cross multiply
    53,086.56x = 73,228.98 × 33,180
  4. Step 4: Simplify right side
    53,086.56x = 2,429,737,556.40
  5. Step 5: Solve for x
    x = 2,429,737,556.40/53,086.56
  6. Step 6: Final answer
    x = 45,769.35

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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.