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Finding the Fourth Proportional to 65,047.60, 89,751.18 and 37,819.42

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Solution

The fourth proportional to 65,047.60, 89,751.18 and 37,819.42 is: 52,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047.60 : 89,751.18 = 37,819.42 : x
  2. Step 2: Convert to fraction form
    65,047.60/89,751.18 = 37,819.42/x
  3. Step 3: Cross multiply
    65,047.60x = 89,751.18 × 37,819.42
  4. Step 4: Simplify right side
    65,047.60x = 3,394,337,571.92
  5. Step 5: Solve for x
    x = 3,394,337,571.92/65,047.60
  6. Step 6: Final answer
    x = 52,182.36

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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.