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Finding the Fourth Proportional to 64,429.92, 96,565.56 and 30,713.68

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Solution

The fourth proportional to 64,429.92, 96,565.56 and 30,713.68 is: 46,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,429.92 : 96,565.56 = 30,713.68 : x
  2. Step 2: Convert to fraction form
    64,429.92/96,565.56 = 30,713.68/x
  3. Step 3: Cross multiply
    64,429.92x = 96,565.56 × 30,713.68
  4. Step 4: Simplify right side
    64,429.92x = 2,965,883,708.86
  5. Step 5: Solve for x
    x = 2,965,883,708.86/64,429.92
  6. Step 6: Final answer
    x = 46,032.71

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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.