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Finding the Fourth Proportional to 65,676.42, 90,638.08 and 37,382.12

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Solution

The fourth proportional to 65,676.42, 90,638.08 and 37,382.12 is: 51,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.42 : 90,638.08 = 37,382.12 : x
  2. Step 2: Convert to fraction form
    65,676.42/90,638.08 = 37,382.12/x
  3. Step 3: Cross multiply
    65,676.42x = 90,638.08 × 37,382.12
  4. Step 4: Simplify right side
    65,676.42x = 3,388,243,583.13
  5. Step 5: Solve for x
    x = 3,388,243,583.13/65,676.42
  6. Step 6: Final answer
    x = 51,589.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.