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Finding the Fourth Proportional to 28,974.40, 43,433.86 and 9,242.08

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Solution

The fourth proportional to 28,974.40, 43,433.86 and 9,242.08 is: 13,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.40 : 43,433.86 = 9,242.08 : x
  2. Step 2: Convert to fraction form
    28,974.40/43,433.86 = 9,242.08/x
  3. Step 3: Cross multiply
    28,974.40x = 43,433.86 × 9,242.08
  4. Step 4: Simplify right side
    28,974.40x = 401,419,208.83
  5. Step 5: Solve for x
    x = 401,419,208.83/28,974.40
  6. Step 6: Final answer
    x = 13,854.27

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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.