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Finding the Fourth Proportional to 64,161.96, 96,255 and 24,715.68

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Solution

The fourth proportional to 64,161.96, 96,255 and 24,715.68 is: 37,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,161.96 : 96,255 = 24,715.68 : x
  2. Step 2: Convert to fraction form
    64,161.96/96,255 = 24,715.68/x
  3. Step 3: Cross multiply
    64,161.96x = 96,255 × 24,715.68
  4. Step 4: Simplify right side
    64,161.96x = 2,379,007,778.40
  5. Step 5: Solve for x
    x = 2,379,007,778.40/64,161.96
  6. Step 6: Final answer
    x = 37,078.17

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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.