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Finding the Fourth Proportional to 65,540.58, 98,294.57 and 28,096.41

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Solution

The fourth proportional to 65,540.58, 98,294.57 and 28,096.41 is: 42,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,540.58 : 98,294.57 = 28,096.41 : x
  2. Step 2: Convert to fraction form
    65,540.58/98,294.57 = 28,096.41/x
  3. Step 3: Cross multiply
    65,540.58x = 98,294.57 × 28,096.41
  4. Step 4: Simplify right side
    65,540.58x = 2,761,723,907.54
  5. Step 5: Solve for x
    x = 2,761,723,907.54/65,540.58
  6. Step 6: Final answer
    x = 42,137.62

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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.