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Finding the Fourth Proportional to 65,589.50, 98,416.37 and 28,138.49

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Solution

The fourth proportional to 65,589.50, 98,416.37 and 28,138.49 is: 42,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,589.50 : 98,416.37 = 28,138.49 : x
  2. Step 2: Convert to fraction form
    65,589.50/98,416.37 = 28,138.49/x
  3. Step 3: Cross multiply
    65,589.50x = 98,416.37 × 28,138.49
  4. Step 4: Simplify right side
    65,589.50x = 2,769,287,832.13
  5. Step 5: Solve for x
    x = 2,769,287,832.13/65,589.50
  6. Step 6: Final answer
    x = 42,221.51

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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.