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Finding the Fourth Proportional to 38,422.36, 57,655.68 and 16,234.30

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Solution

The fourth proportional to 38,422.36, 57,655.68 and 16,234.30 is: 24,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.36 : 57,655.68 = 16,234.30 : x
  2. Step 2: Convert to fraction form
    38,422.36/57,655.68 = 16,234.30/x
  3. Step 3: Cross multiply
    38,422.36x = 57,655.68 × 16,234.30
  4. Step 4: Simplify right side
    38,422.36x = 935,999,605.82
  5. Step 5: Solve for x
    x = 935,999,605.82/38,422.36
  6. Step 6: Final answer
    x = 24,360.80

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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.