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Finding the Fourth Proportional to 24,629, 36,943.50 and 6,161

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Solution

The fourth proportional to 24,629, 36,943.50 and 6,161 is: 9,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629 : 36,943.50 = 6,161 : x
  2. Step 2: Convert to fraction form
    24,629/36,943.50 = 6,161/x
  3. Step 3: Cross multiply
    24,629x = 36,943.50 × 6,161
  4. Step 4: Simplify right side
    24,629x = 227,608,903.50
  5. Step 5: Solve for x
    x = 227,608,903.50/24,629
  6. Step 6: Final answer
    x = 9,241.50

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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.