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Finding the Fourth Proportional to 64,589.76, 96,886.46 and 17,842.64

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Solution

The fourth proportional to 64,589.76, 96,886.46 and 17,842.64 is: 26,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,589.76 : 96,886.46 = 17,842.64 : x
  2. Step 2: Convert to fraction form
    64,589.76/96,886.46 = 17,842.64/x
  3. Step 3: Cross multiply
    64,589.76x = 96,886.46 × 17,842.64
  4. Step 4: Simplify right side
    64,589.76x = 1,728,709,786.83
  5. Step 5: Solve for x
    x = 1,728,709,786.83/64,589.76
  6. Step 6: Final answer
    x = 26,764.46

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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.