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Finding the Fourth Proportional to 53,072.56, 73,209.72 and 33,166

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Solution

The fourth proportional to 53,072.56, 73,209.72 and 33,166 is: 45,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072.56 : 73,209.72 = 33,166 : x
  2. Step 2: Convert to fraction form
    53,072.56/73,209.72 = 33,166/x
  3. Step 3: Cross multiply
    53,072.56x = 73,209.72 × 33,166
  4. Step 4: Simplify right side
    53,072.56x = 2,428,073,573.52
  5. Step 5: Solve for x
    x = 2,428,073,573.52/53,072.56
  6. Step 6: Final answer
    x = 45,750.07

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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.