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Finding the Fourth Proportional to 29,811.30, 44,716.49 and 7,624.48

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Solution

The fourth proportional to 29,811.30, 44,716.49 and 7,624.48 is: 11,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.30 : 44,716.49 = 7,624.48 : x
  2. Step 2: Convert to fraction form
    29,811.30/44,716.49 = 7,624.48/x
  3. Step 3: Cross multiply
    29,811.30x = 44,716.49 × 7,624.48
  4. Step 4: Simplify right side
    29,811.30x = 340,939,983.68
  5. Step 5: Solve for x
    x = 340,939,983.68/29,811.30
  6. Step 6: Final answer
    x = 11,436.60

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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.