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Finding the Fourth Proportional to 38,449.89, 57,663.50 and 16,262.78

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Solution

The fourth proportional to 38,449.89, 57,663.50 and 16,262.78 is: 24,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449.89 : 57,663.50 = 16,262.78 : x
  2. Step 2: Convert to fraction form
    38,449.89/57,663.50 = 16,262.78/x
  3. Step 3: Cross multiply
    38,449.89x = 57,663.50 × 16,262.78
  4. Step 4: Simplify right side
    38,449.89x = 937,768,444.90
  5. Step 5: Solve for x
    x = 937,768,444.90/38,449.89
  6. Step 6: Final answer
    x = 24,389.37

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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.