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Finding the Fourth Proportional to 72,938, 100,654.52 and 39,404

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Solution

The fourth proportional to 72,938, 100,654.52 and 39,404 is: 54,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,938 : 100,654.52 = 39,404 : x
  2. Step 2: Convert to fraction form
    72,938/100,654.52 = 39,404/x
  3. Step 3: Cross multiply
    72,938x = 100,654.52 × 39,404
  4. Step 4: Simplify right side
    72,938x = 3,966,190,706.08
  5. Step 5: Solve for x
    x = 3,966,190,706.08/72,938
  6. Step 6: Final answer
    x = 54,377.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.