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Finding the Fourth Proportional to 65,147.70, 89,780.94 and 52,212.27

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Solution

The fourth proportional to 65,147.70, 89,780.94 and 52,212.27 is: 71,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.70 : 89,780.94 = 52,212.27 : x
  2. Step 2: Convert to fraction form
    65,147.70/89,780.94 = 52,212.27/x
  3. Step 3: Cross multiply
    65,147.70x = 89,780.94 × 52,212.27
  4. Step 4: Simplify right side
    65,147.70x = 4,687,666,680.13
  5. Step 5: Solve for x
    x = 4,687,666,680.13/65,147.70
  6. Step 6: Final answer
    x = 71,954.45

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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.