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Finding the Fourth Proportional to 38,346.50, 57,524.62 and 10,644.50

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Solution

The fourth proportional to 38,346.50, 57,524.62 and 10,644.50 is: 15,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.50 : 57,524.62 = 10,644.50 : x
  2. Step 2: Convert to fraction form
    38,346.50/57,524.62 = 10,644.50/x
  3. Step 3: Cross multiply
    38,346.50x = 57,524.62 × 10,644.50
  4. Step 4: Simplify right side
    38,346.50x = 612,320,817.59
  5. Step 5: Solve for x
    x = 612,320,817.59/38,346.50
  6. Step 6: Final answer
    x = 15,968.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.