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Finding the Fourth Proportional to 64,514.96, 96,629.52 and 49,614.56

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Solution

The fourth proportional to 64,514.96, 96,629.52 and 49,614.56 is: 74,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514.96 : 96,629.52 = 49,614.56 : x
  2. Step 2: Convert to fraction form
    64,514.96/96,629.52 = 49,614.56/x
  3. Step 3: Cross multiply
    64,514.96x = 96,629.52 × 49,614.56
  4. Step 4: Simplify right side
    64,514.96x = 4,794,231,117.81
  5. Step 5: Solve for x
    x = 4,794,231,117.81/64,514.96
  6. Step 6: Final answer
    x = 74,311.93

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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.