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Finding the Fourth Proportional to 29,589.50, 44,406.30 and 21,712.38

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Solution

The fourth proportional to 29,589.50, 44,406.30 and 21,712.38 is: 32,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589.50 : 44,406.30 = 21,712.38 : x
  2. Step 2: Convert to fraction form
    29,589.50/44,406.30 = 21,712.38/x
  3. Step 3: Cross multiply
    29,589.50x = 44,406.30 × 21,712.38
  4. Step 4: Simplify right side
    29,589.50x = 964,166,459.99
  5. Step 5: Solve for x
    x = 964,166,459.99/29,589.50
  6. Step 6: Final answer
    x = 32,584.75

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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.