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Finding the Fourth Proportional to 64,764.16, 89,364.64 and 36,469.12

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Solution

The fourth proportional to 64,764.16, 89,364.64 and 36,469.12 is: 50,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764.16 : 89,364.64 = 36,469.12 : x
  2. Step 2: Convert to fraction form
    64,764.16/89,364.64 = 36,469.12/x
  3. Step 3: Cross multiply
    64,764.16x = 89,364.64 × 36,469.12
  4. Step 4: Simplify right side
    64,764.16x = 3,259,049,779.92
  5. Step 5: Solve for x
    x = 3,259,049,779.92/64,764.16
  6. Step 6: Final answer
    x = 50,321.81

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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.