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Finding the Fourth Proportional to 38,411, 57,616.50 and 9,227

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Solution

The fourth proportional to 38,411, 57,616.50 and 9,227 is: 13,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411 : 57,616.50 = 9,227 : x
  2. Step 2: Convert to fraction form
    38,411/57,616.50 = 9,227/x
  3. Step 3: Cross multiply
    38,411x = 57,616.50 × 9,227
  4. Step 4: Simplify right side
    38,411x = 531,627,445.50
  5. Step 5: Solve for x
    x = 531,627,445.50/38,411
  6. Step 6: Final answer
    x = 13,840.50

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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.