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Finding the Fourth Proportional to 65,137.10, 89,872.10 and 37,534.97

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Solution

The fourth proportional to 65,137.10, 89,872.10 and 37,534.97 is: 51,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.10 : 89,872.10 = 37,534.97 : x
  2. Step 2: Convert to fraction form
    65,137.10/89,872.10 = 37,534.97/x
  3. Step 3: Cross multiply
    65,137.10x = 89,872.10 × 37,534.97
  4. Step 4: Simplify right side
    65,137.10x = 3,373,345,940.30
  5. Step 5: Solve for x
    x = 3,373,345,940.30/65,137.10
  6. Step 6: Final answer
    x = 51,788.40

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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.