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Finding the Fourth Proportional to 65,676.87, 98,538.54 and 32,420.25

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Solution

The fourth proportional to 65,676.87, 98,538.54 and 32,420.25 is: 48,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.87 : 98,538.54 = 32,420.25 : x
  2. Step 2: Convert to fraction form
    65,676.87/98,538.54 = 32,420.25/x
  3. Step 3: Cross multiply
    65,676.87x = 98,538.54 × 32,420.25
  4. Step 4: Simplify right side
    65,676.87x = 3,194,644,101.44
  5. Step 5: Solve for x
    x = 3,194,644,101.44/65,676.87
  6. Step 6: Final answer
    x = 48,641.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.