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Finding the Fourth Proportional to 64,181.74, 96,319.91 and 30,447.86

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Solution

The fourth proportional to 64,181.74, 96,319.91 and 30,447.86 is: 45,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,181.74 : 96,319.91 = 30,447.86 : x
  2. Step 2: Convert to fraction form
    64,181.74/96,319.91 = 30,447.86/x
  3. Step 3: Cross multiply
    64,181.74x = 96,319.91 × 30,447.86
  4. Step 4: Simplify right side
    64,181.74x = 2,932,735,134.89
  5. Step 5: Solve for x
    x = 2,932,735,134.89/64,181.74
  6. Step 6: Final answer
    x = 45,694.23

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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.