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Finding the Fourth Proportional to 64,216.85, 96,325.41 and 34,648.61

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Solution

The fourth proportional to 64,216.85, 96,325.41 and 34,648.61 is: 51,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,216.85 : 96,325.41 = 34,648.61 : x
  2. Step 2: Convert to fraction form
    64,216.85/96,325.41 = 34,648.61/x
  3. Step 3: Cross multiply
    64,216.85x = 96,325.41 × 34,648.61
  4. Step 4: Simplify right side
    64,216.85x = 3,337,541,564.18
  5. Step 5: Solve for x
    x = 3,337,541,564.18/64,216.85
  6. Step 6: Final answer
    x = 51,972.99

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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.