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Finding the Fourth Proportional to 65,396.37, 89,657.32 and 64,215.39

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Solution

The fourth proportional to 65,396.37, 89,657.32 and 64,215.39 is: 88,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.37 : 89,657.32 = 64,215.39 : x
  2. Step 2: Convert to fraction form
    65,396.37/89,657.32 = 64,215.39/x
  3. Step 3: Cross multiply
    65,396.37x = 89,657.32 × 64,215.39
  4. Step 4: Simplify right side
    65,396.37x = 5,757,379,770.15
  5. Step 5: Solve for x
    x = 5,757,379,770.15/65,396.37
  6. Step 6: Final answer
    x = 88,038.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.