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Finding the Fourth Proportional to 64,219.85, 96,329.91 and 34,651.61

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Solution

The fourth proportional to 64,219.85, 96,329.91 and 34,651.61 is: 51,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,219.85 : 96,329.91 = 34,651.61 : x
  2. Step 2: Convert to fraction form
    64,219.85/96,329.91 = 34,651.61/x
  3. Step 3: Cross multiply
    64,219.85x = 96,329.91 × 34,651.61
  4. Step 4: Simplify right side
    64,219.85x = 3,337,986,472.66
  5. Step 5: Solve for x
    x = 3,337,986,472.66/64,219.85
  6. Step 6: Final answer
    x = 51,977.49

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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.