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Finding the Fourth Proportional to 65,137.50, 89,889.78 and 36,842.58

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Solution

The fourth proportional to 65,137.50, 89,889.78 and 36,842.58 is: 50,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.50 : 89,889.78 = 36,842.58 : x
  2. Step 2: Convert to fraction form
    65,137.50/89,889.78 = 36,842.58/x
  3. Step 3: Cross multiply
    65,137.50x = 89,889.78 × 36,842.58
  4. Step 4: Simplify right side
    65,137.50x = 3,311,771,410.83
  5. Step 5: Solve for x
    x = 3,311,771,410.83/65,137.50
  6. Step 6: Final answer
    x = 50,842.78

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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.