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Finding the Fourth Proportional to 29,826, 44,739.27 and 9,049.50

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Solution

The fourth proportional to 29,826, 44,739.27 and 9,049.50 is: 13,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826 : 44,739.27 = 9,049.50 : x
  2. Step 2: Convert to fraction form
    29,826/44,739.27 = 9,049.50/x
  3. Step 3: Cross multiply
    29,826x = 44,739.27 × 9,049.50
  4. Step 4: Simplify right side
    29,826x = 404,868,023.87
  5. Step 5: Solve for x
    x = 404,868,023.87/29,826
  6. Step 6: Final answer
    x = 13,574.33

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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.