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Finding the Fourth Proportional to 29,116.50, 43,674.75 and 7,228.50

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Solution

The fourth proportional to 29,116.50, 43,674.75 and 7,228.50 is: 10,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116.50 : 43,674.75 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    29,116.50/43,674.75 = 7,228.50/x
  3. Step 3: Cross multiply
    29,116.50x = 43,674.75 × 7,228.50
  4. Step 4: Simplify right side
    29,116.50x = 315,702,930.38
  5. Step 5: Solve for x
    x = 315,702,930.38/29,116.50
  6. Step 6: Final answer
    x = 10,842.75

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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.