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Finding the Fourth Proportional to 64,872.80, 89,524.32 and 36,578.32

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Solution

The fourth proportional to 64,872.80, 89,524.32 and 36,578.32 is: 50,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,872.80 : 89,524.32 = 36,578.32 : x
  2. Step 2: Convert to fraction form
    64,872.80/89,524.32 = 36,578.32/x
  3. Step 3: Cross multiply
    64,872.80x = 89,524.32 × 36,578.32
  4. Step 4: Simplify right side
    64,872.80x = 3,274,649,224.74
  5. Step 5: Solve for x
    x = 3,274,649,224.74/64,872.80
  6. Step 6: Final answer
    x = 50,478.00

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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.