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Finding the Fourth Proportional to 29,884.17, 44,826.21 and 9,107.67

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Solution

The fourth proportional to 29,884.17, 44,826.21 and 9,107.67 is: 13,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884.17 : 44,826.21 = 9,107.67 : x
  2. Step 2: Convert to fraction form
    29,884.17/44,826.21 = 9,107.67/x
  3. Step 3: Cross multiply
    29,884.17x = 44,826.21 × 9,107.67
  4. Step 4: Simplify right side
    29,884.17x = 408,262,328.03
  5. Step 5: Solve for x
    x = 408,262,328.03/29,884.17
  6. Step 6: Final answer
    x = 13,661.49

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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.