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Finding the Fourth Proportional to 64,782.56, 89,398.32 and 36,486.56

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Solution

The fourth proportional to 64,782.56, 89,398.32 and 36,486.56 is: 50,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782.56 : 89,398.32 = 36,486.56 : x
  2. Step 2: Convert to fraction form
    64,782.56/89,398.32 = 36,486.56/x
  3. Step 3: Cross multiply
    64,782.56x = 89,398.32 × 36,486.56
  4. Step 4: Simplify right side
    64,782.56x = 3,261,837,166.58
  5. Step 5: Solve for x
    x = 3,261,837,166.58/64,782.56
  6. Step 6: Final answer
    x = 50,350.54

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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.